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Exercise

$\lim_{x\to\infty}\left(x\cos\left(\frac{x\pi}{2\left(x+1\right)}\right)\right)$

Step-by-step Solution

1

The limit $\lim_{x\to\infty }\left(x\cos\left(\frac{\pi x}{2\left(x+1\right)}\right)\right)$ is indeterminate, because the limit of trigonometric functions as $x$ approaches infinity is indeterminate

indeterminate

Final answer to the exercise

indeterminate

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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