Smarter Measure Reflection This reflection paper is to be typed after completing the Smarter Measure assessment. The Smarter Measure assessment can be found on MyJeffco in the Online Support tab. To log in type jconline as the username and type connect as the password. Once you have completed the assessment, type a one to two page double spaced reflection using 12 point font about the results of the Smarter Measure assessment. Your reflection must include an introduction paragraph and a summary paragraph. Illustrate your general statements with examples whenever possible, utilize logical transitions from one topic to another, and try to be as concise and clear in your comments as possible. You will need to address the following topics in your reflection: · Strengths and weaknesses as indicated by scores in specific areas · Plans to improve areas of weakness · Readiness to take online courses Scoring Guide Name _________________________________________________________________ Met Well Met with concern Not Met Teacher Comments Introduction Paragraph Clear topic sentence; Well thought out paragraph 5 Topic sentence is vague and lacks content 3 No introduction paragraph 0 Strengths & Weaknesses Strengths & Weaknesses are discussed with clear examples 5 Strengths or Weaknesses are not discussed and/or ¶ lacks clear examples 3 Strengths & Weaknesses are not discussed 0 Plans to improve weaknesses Plans to improve weaknesses are discussed with clear examples 5 Plans to improve weaknesses are vague and/or ¶ lacks clear examples 3 Plans to improve weaknesses are not discussed 0 Readiness to take online courses Readiness to take online courses are discussed with clear examples 5 Readiness to take online courses is vague and/or ¶ lacks clear examples 3 Readiness to take online courses is not discusses 0 Conclusion Paragraph Closing summary is complete; Well thought out paragraph 5 Vague summary of content 3 No conclusion paragraph 0 Spelling & Grammar No spelling or grammatical errors 5 4-5 spelling or grammatical errors 3 More than 5 spelling or grammatical errors 0 Math 1431 Page 1 of 5 Section 1.2 Exercises    Section 1.2 – Exercises In Exercises 1-4, given the value of c and the graph of the function f , find lim ( ) x c f x  . 1. c = 1 2. c = 2 3. c = 1   4. c = 4 Math 1431 Page 2 of 5 Section 1.2 Exercises    In Exercises 5-12, given the graph of a function f , use the graph to find (a) lim ( ) x c f x  (b) lim ( ) x c f x  (c) lim ( ) x c f x  (d) ( )f c . 5. c = 1 6. c = 2 7. c = 2 8. c = 1 Math 1431 Page 3 of 5 Section 1.2 Exercises      9. c = 2 10. c = 3 11. c = 4 12. c = 1 Math 1431 Page 4 of 5 Section 1.2 Exercises    In Exe.

1. Smarter Measure Reflection
This reflection paper is to be typed after completing the Smarter
Measure assessment. The Smarter Measure assessment can be
found on MyJeffco in the Online Support tab. To log in type
jconline as the username and type connect as the password.
Once you have completed the assessment, type a one to two
page double spaced reflection using 12 point font about the
results of the Smarter Measure assessment. Your reflection must
include an introduction paragraph and a summary paragraph.
Illustrate your general statements with examples whenever
possible, utilize logical transitions from one topic to another,
and try to be as concise and clear in your comments as possible.
You will need to address the following topics in your reflection:
· Strengths and weaknesses as indicated by scores in
specific areas
· Plans to improve areas of weakness
· Readiness to take online courses
Scoring Guide
Name
_____________________________________________________
____________
Met Well
Met with concern
Not Met
Teacher Comments
Introduction Paragraph
Clear topic sentence; Well thought out paragraph
5
Topic sentence is vague and lacks content
3
No introduction paragraph

2. 0
Strengths & Weaknesses
Strengths & Weaknesses are discussed with clear examples
5
Strengths or Weaknesses are not discussed and/or ¶ lacks clear
examples
3
Strengths & Weaknesses are not discussed
0
Plans to improve weaknesses
Plans to improve weaknesses are discussed with clear examples
5
Plans to improve weaknesses are vague and/or ¶ lacks clear
examples
3
Plans to improve weaknesses are not discussed
0
Readiness to take online courses
Readiness to take online courses are discussed with clear
examples
5
Readiness to take online courses is vague and/or ¶ lacks clear
examples
3

3. Readiness to take online courses is not discusses
0
Conclusion Paragraph
Closing summary is complete; Well thought out paragraph
5
Vague summary of content
3
No conclusion paragraph
0
Spelling & Grammar
No spelling or grammatical errors
5
4-5 spelling or grammatical errors
3
More than 5 spelling or grammatical errors
0
Math 1431 Page 1 of 5 Section 1.2 Exercises

4. Section 1.2 – Exercises
In Exercises 1-4, given the value of c and the graph of the
function f , find lim ( )
x c
f x
.
4. c = 4
Math 1431 Page 2 of 5 Section 1.2 Exercises
In Exercises 5-12, given the graph of a function f , use the
graph to find (a) lim ( )
x c
f x

5. (b) lim ( )
x c
f x
(c) lim ( )
x c
f x
(d) ( )f c .
5. c = 1
6. c = 2
8. c = 1
Math 1431 Page 3 of 5 Section 1.2 Exercises

6. 12. c = 1
Math 1431 Page 4 of 5 Section 1.2 Exercises
In Exercises 13-15, give the values of c for which lim ( )
x c
f x
does not exist.
13.

7. 14.
15.
2 , 2
( ) 8 2 , 2 4
4, 4
x x
f x x x
x
(Hint: draw the graph.)
Math 1431 Page 5 of 5 Section 1.2 Exercises
In Exercises 16-22, decide on intuitive grounds whether the
indicated limit exists. If it does,
find the limit.

8. 1
( ) 4 5, lim
x
f x x f x
0
( ) 1, lim
x
f x x f x
0
1
( ) , lim
x
f x f x

9. 2
2
, 2
( ) , lim
2 , 2 x
x x
f x f x
.
2
2
, 2
( ) , lim
2 , 2 x
x x
f x f x

10. .
2
2
, 2
( ) , lim
7 , 2 x
x x
f x f x
.
2
3
, 2
( ) , lim
7 , 2 x
x x
f x f x

11. .
Math 1431 Page 1 of 4 Section 1.3 Exercises
Section 1.3 – Exercises
In Exercises 1-32, evaluate the limit:
2
lim 6 2
x
x x
2
lim 6 2
x
x x

12. 3.
4
5
lim
4.
23
3
lim
4 21x
x
5. lim

13. 6.
2
0
6 7
lim
x
x x
7.
3
3
lim
18 6x
x
8.
3

14. 3
5 135
lim
3x
x
9.
3
3
5 135
lim
3x
x
10.
3 2
0
6
lim

15. 2x
x x
11.
2
20
6
lim
2x
x x
12.
4
1
6 6
lim
2 2x
x

16. 13.
2
12 6
lim
2x
x
14.
2
22
2 8
lim
4 4x
x

17. 15.
5
| 5 |
lim
5x
x
16.
3
1
lim
17.
2
| |
lim
x
x

18. 18.
8
8
lim
x
x
19. 2
8
lim 64
x
x
3
lim 6
21.

19. 3
lim | 4 24 |
x
x
0
7
lim
x
x
23.
0
3
lim 6
x
x

20. 24. 2
0
3
lim 6
x
x
25.
20
2
lim 6
x
x
26.
4

21. 2
lim
4x
x
27.
4
4
lim
2x
x
28.
2
0
4
1
lim

22. 2
1
x
x
x
29.
2
0
2
4
1
lim
4
1
x
x
x

23. 30.
2
5 3
lim
2 2 4x
x
Math 1431 Page 2 of 4 Section 1.3 Exercises
31.
2
2
5 5
lim

24. 2 2 8x
x
32.
3
2
3 6
lim
2 3x
x x
33. Evaluate
3
lim ( )
x
f x
, given that
6 , 3

25. ( )
18, 3
x x
f x
x
.
34. Evaluate
0
lim ( )
x
f x
, given that
2 , 0
( )
7, 0
x x
f x
x x

26. .
35. Evaluate
3
lim ( )
x
f x
, given that
2
2 3, 3
( )
, 3
x x
f x
x x x
.
36. Evaluate
3

27. lim ( )
x
f x
, given that
2 , 3
( ) 8, 3
2 3, 3
x x
f x x
x x
.
37. Evaluate
1
lim ( )
x
f x

28. , given that
2 2, 1
( )
1, 1
x x
f x
x
38. Evaluate
2
lim ( )
x
f x
, given that
4 , 2
( )
0, 2
x x
f x

29. x
.
39. For
4
lim 3 12
x
x
40. For
3
1
lim
6 2x
x
δ that works for ε = 0.01.
41. Given lim ( ) 6
x c
f x

30. x c
x
x c
x
1
lim
.
42. Given lim ( ) 6
x c
f x
x c
x
x c

31. x
x c
h x
.
1
( ) (1)
lim
1x
f x f
.
x c
f x g x
x c

32. f x
does not exist, then lim g( )
x c
x
does
not exist.
45. Given
1, is rational
( )
1, is irrational.
x
f x
x
0
lim
x
f x

33. .
46. Given
1, is integer
( )
0, is not an integer.
x
f x
x
4
lim
x
f x
.
47. Given ( )
x
f x
x

34. 0
lim
x
f x
.
Math 1431 Page 3 of 4 Section 1.3 Exercises
48. Given
9
( )
9
x
f x
x
9
lim
x

35. f x
.
49. Given
9
( )
9
x
f x
x
10
lim
x
f x
.
50. Given
2 , 2
( ) 3 , 2 5

36. 2 1, 5
x x x
f x x x
x x
2
lim
x
f x
5
lim
x
f x
.
In Exercises 51-

37. x
f x
x
f x
. If these limits do not exist, state the
reason.
52.
5 2
6
3 4
( )
x x
f x
x x
.

38. 53.
5 4
4
2 3
( )
x x
f x
x x
.
54.
3 2
3
3 4
( )
4 6
x x
f x
x x

39. .
55.
2
2
5 4
( )
2
x
f x
x
.
56.
3
2
( )
4 6
x x
f x

40. x x
.
61. ( )
sin
x
f x
x
Math 1431 Page 4 of 4 Section 1.3 Exercises
In Exercises 63-
2

41. lim 5 1 9
x
x
3
lim 4 2 14
x
x
65. 2
4
lim 16
x
x
66. 3
1
lim 1
x

42. x
1
lim 2 3
x
x x
In Exercises 68-71, find each limit. Notice that the limit is
68. Find the limit:
0
lim
h
x h x
.
69. Find the limit:

43. 0
lim
h
x h x
.
70. Find the limit:
0
1 1
lim
h
x h x
71. Find the limit:
0
lim
h
x h x

44. .
x c
f x L
x c
f x L
b) Give an example to show that the converse is false; find a
function such that
x c
f x L
x c
f x M L

45. c) Is
x c
f x
x c
f x
does not exist?