Question: Suppose \(f\) is a differentiable function such that \(\lim _{x \rightarrow 5} f(x)=1\) and \(\lim _{x \rightarrow 5} f^{\prime}(x)=5\).

1. Show the following limit is indeterminate by identifying its form. \(\lim _{x \rightarrow 5} f(x)^{\cot (10 \pi x)}\)
2. Showing all steps, analytically determine the exact value of the limit.
3. Enter the value below, accurate to 3 decimal places

\(\lim _{x \rightarrow 5} f(x)^{\cot (10 \pi x)} \approx\)

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document