Given the function f(x) = , find

General Formulas and Concepts:

Algebra I

Calculus

Limits

Step-by-step explanation:

Step 1: Define

Step 2: Graph/Evaluate

Graph the function so we can evaluate the given limits. See attachment.

We see from the function that when we approach 0 from the left, we will get a -1.

∴

We see from the function that when we approach 0 from the right, we will get a 1.

∴

Since the limit from the left does not equal the limit from the right, the limit as x approaches 0 of f(x) does not exist (DNE).

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step-by-step explanation: