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Functions, Graphs, and Limits

Functions, Graphs, and Limits

One-Sided Limits Exercises

Example 1

Find the limit.

Example 2

Find the limit.

Example 3

Find the limit.

Example 4

Find the limit.

Example 5

For the function f(x) and specified value of a, find the left- and right-hand limits of f(x) as x approaches a.

Determine if   exists, and if so state its value.

a = 5,

Example 6

For the function f(x) and specified value of a, find the left- and right-hand limits of f(x) as x approaches a.

Determine if   exists, and if so state its value.

a = 0,

f(x) = |x|

Example 7

For the function f(x) and specified value of a, find the left-side and right-side limits of f(x) as x approaches a.

Determine if    exists, and if so state its value. 

a = 3,

 

Example 8

For the function f(x) and specified value of a, find the left-side and right-side limits of f(x) as x approaches a.

Determine if exists, and if so state its value.

a = -10,

Example 9

For the function f(x) and specified value of a, find the left-side and right-side limits of f(x) as x approaches a.

Determine if exists, and if so state its value.

a = 1,