Questions: Decide whether the limit exists. If it exists, find its value. Find lim as x approaches 0 of f(x).

Transcript text: Decide whether the limit exists. If it exists, find its value. Find $\lim _{x \rightarrow 0} f(x)$.

Solution

Solution Steps

Step 1: Analyze the graph as x approaches 0

We are looking for the limit of the function f(x) as x approaches 0. Observe the graph of the function around x = 0. As x approaches 0 from the left (x → 0⁻), the function values approach 0. As x approaches 0 from the right (x → 0⁺), the function values also approach 0.

Step 2: Determine if the left-hand limit and right-hand limit are equal

Since both the left-hand limit and the right-hand limit approach the same value (0), the limit exists.