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Exercise

$\lim_{x\to\frac{\pi}{2}}\left(\frac{5secx}{4tanx+4}\right)$

Step-by-step Solution

1

Evaluar el límite reemplazando todas las ocurrencias de $\lim_{x\to{\frac{\pi }$\frac{\pi }{2}$}}\left(\frac{5\sec\left(x\right)}{4\tan\left(x\right)+4}\right)$ por $x$

$\frac{5\sec\left(\frac{\pi }{2}\right)}{4\tan\left(\frac{\pi }{2}\right)+4}$

Final answer to the exercise

$\frac{5\sec\left(\frac{\pi }{2}\right)}{4\tan\left(\frac{\pi }{2}\right)+4}$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
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Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

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