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Functions, Graphs, and Limits Exercises

Example 1

Find the following limit, assuming that
 and .

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Example 2

Find the following limit, assuming that
 and .

Example 3

Find the following limit, assuming that
 and .

Example 4

Find the following limit, assuming that
 and .

Example 5

Find the following limit, assuming that
 and .

Example 6

Assuming that  and ,
find the following limit.

Example 7

Assuming that and , find the following limit.

Example 8

Assuming that  and ,
find the following limit.

Example 9

Assuming that  and ,
find the following limit.

Example 10

Assuming that  and ,
find the following limit.

Example 11

Find  (we may assume this limit exists), given that

.

Example 12


Find  (we may assume this limit exists), given that

.

Example 13

Find  (we may assume this limit exists), given that

Example 14

Find  (we may assume this limit exists), given that

.

Example 15

Find  (we may assume this limit exists), given that

.