The limit of a function is that value which the function approaches as x approaches the given value of a.
Definition: A function f(x) is continuous at x = a if all three of the following conditions are satisfied:
Given the following function f(x):
So f(x) is continuous at x = -3
At the point x = -1:
1. f(-1) does not exist
So f(x) is not continuous at x = -1
At the point x = 1:
In order for to exist you must approach the same number
from the right and left. Since you get different values the does not exist.
So f(x) is not continuous at x = 1.
Evaluate each of the following limits
does not exist
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