This document provides instructions for Assignment 1 of the SMN3013 Beginning Calculus course. Students must work in groups of 4-5 people on two problems: 1) making a table of values, conjecture, and graph for two functions as x approaches 0, and 2) investigating the limit of (1 + x)1/x numerically as x approaches 0. Completed assignments must be submitted online by October 12, 2013 in MS Word or PDF format.

1. SMN3013 BEGINNING CALCULUS
Semester 1 Session 2013/2014
Assignment 1
Instructions:
Work in a group of four (4) to …ve (5) people.
Each group must work independently.
Include the following information in the front cover of your assignment:
– COURSE CODE AND NAME: SMN3013 BEGINNING CALCULUS
– TITLE: ASSIGNMENT 1
– GROUP: A, C or D
– NAMES AND METRIC NUMBERS OF GROUP MEMBERS:
Give your references. Points may be deducted if no references attached.
Complete set of solutions must be submitted ONLINE in MSWord or PDF format by FRIDAY,
OCTOBER 12, 2013. (For handwritten assignment, you may scan and send it in PDF format).
Problems:
1. For the functions below,
(I) f (x) =
sin x
x
:
(II) f (x) =
ex
1
x
do the following:
(a) Make a table of values of f (x) for
x = 0:1; 0:01; 0:001; 0:0001
0:1; 0:01; 0:001; 0:0001
(b) Make a conjecture about the value of lim
x!0
f (x) :
(c) Graph the function to see if it is consistent with your answers to parts (a) and (b) :
2. Choosing several suitable values for x; investigate lim
x!0
(1 + x)
1=x
numerically. What is your conclusion?
- End of Assignment 1 -
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