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Exercise

$\lim_{x\to\frac{5}{2}}\left(\cos\left(x\right)+sen\left(x\right)^{tan\left(x\right)}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{\frac{5}{2}}}\left(\cos\left(x\right)+\sin\left(x\right)^{\tan\left(x\right)}\right)$ by replacing all occurrences of $x$ by $\frac{5}{2}$

$\cos\left(\frac{5}{2}\right)+\sin\left(\frac{5}{2}\right)^{\tan\left(\frac{5}{2}\right)}$

Final answer to the exercise

$\cos\left(\frac{5}{2}\right)+\sin\left(\frac{5}{2}\right)^{\tan\left(\frac{5}{2}\right)}$

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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