Examine the continuity of the function `f(x)=2x^2-1`at `x = 3`.

Explanation

To examine the continuity of the function \( f(x) = 2x^2 - 1 \) at \( x = 3 \), we need to verify three conditions:

1. \( f(3) \) is defined.
2. The limit of \( f(x) \) as \( x \) approaches 3 exists.
3. The limit of \( f(x) \) as \( x \) approaches 3 is equal to \( f(3) \).

Let's go through these steps one by one.

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