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Exercise

$\lim_{x\to\frac{\pi^2}{2}}\left(\tan\left(x\right)^{\cos\left(x\right)}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{\frac{\pi ^2}{2}}}\left(\tan\left(x\right)^{\cos\left(x\right)}\right)$ by replacing all occurrences of $x$ by $\frac{\pi ^2}{2}$

$\tan\left(\frac{\pi ^2}{2}\right)^{\cos\left(\frac{\pi ^2}{2}\right)}$

Final answer to the exercise

$\tan\left(\frac{\pi ^2}{2}\right)^{\cos\left(\frac{\pi ^2}{2}\right)}$

Try other ways to solve this exercise

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  • Solve using limit properties
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  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
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