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Exercise

$\lim_{x\to3\pi}\left(\frac{1+tan\left(\frac{x}{4}\right)}{cos\left(\frac{x}{2}\right)}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{3\pi }}\left(\frac{1+\tan\left(\frac{x}{4}\right)}{\cos\left(\frac{x}{2}\right)}\right)$ by replacing all occurrences of $x$ by $3\pi $

$\frac{1+\tan\left(\frac{3\pi }{4}\right)}{\cos\left(\frac{3\pi }{2}\right)}$

Final answer to the exercise

$\frac{1+\tan\left(\frac{3\pi }{4}\right)}{\cos\left(\frac{3\pi }{2}\right)}$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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