Evaluate `lim_(xto0) (cosx)^(cotx).`

Explanation

To evaluate the limit \( \lim_{x \to 0} (\cos x)^{\cot x} \), we can follow these steps:

### Step 1: Identify the form of the limit
As \( x \to 0 \):
- \( \cos(0) = 1 \)
- \( \cot(0) = \frac{\cos(0)}{\sin(0)} = \frac{1}{0} = \infty \)

Thus, we have the form \( 1^{\infty} \).
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