Calculus Examples

$lim_{x \to 45} {\tan (x)}^{\cos (x)}$

Step 1

Since $\tan^{- 1} (x) \leq {\tan (x)}^{\cos (x)} \leq \tan^{1} (x)$ and $lim_{x \to 45} \tan^{- 1} (x) = lim_{x \to 45} \tan^{1} (x) = 1$ , apply the squeeze theorem.

$1$