This document contains practice problems and solutions from a Calculus textbook. It includes: 1) Limit problems evaluating expressions like limx→10 (x2/10) and their solutions. 2) Multiple problems evaluating limits like limx→0 x5 and their step-by-step solutions. 3) Evaluating related limits like limx→0 x5/x and limx→0 x/x5 simultaneously.

1. Calculus
Unit 1 Practice Test #15
a3 b3 a b a 2 ab b2
x 3
1000 x 10 x 2 10 x 100
lim lim
x 10 x 10 x 10 x 10
lim x 2 10 x 100
x 10
2
10 10 10 100
300

2. Calculus
1.3 pg78 #53
x 5 5 x 5 5
lim
x 0 x x 5 5
x 5 5 x 5 5 x 5 5
lim
x 0
x x 5 5

3. Calculus
1.3 pg78 #53
x 5 5 x 5 5
lim
x 0 x x 5 5
x 5 5 x 5 5 x 5 5
lim
x 0
x x 5 5
x 5 5 x
lim lim
x 0 x 0
x x 5 5 x x 5 5

4. Calculus
1.3 pg78 #53
x 5 5 x 5 5
lim
x 0 x x 5 5
x 5 5 x 5 5 x 5 5
lim
x 0
x x 5 5
x 5 5 x
lim lim
x 0 x 0
x x 5 5 x x 5 5

5. 1
lim
x 0 x 5 5
1 1 1 5
lim
x 0 0 5 5 5 5 2 5 10