Extend the definition of the following by continuity `f(x)=(1-cos7(x-pi))/(5(x-pi)^2)"at the point"x=pi`

Explanation

To extend the definition of the function \( f(x) = \frac{1 - \cos(7(x - \pi))}{5(x - \pi)^2} \) at the point \( x = \pi \) by continuity, we need to find the limit of \( f(x) \) as \( x \) approaches \( \pi \).

### Step-by-Step Solution:

1. **Identify the Function and the Point of Interest**:
We are given:
\[
f(x) = \frac{1 - \cos(7(x - \pi))}{5(x - \pi)^2}
...