Find the limit of cos((xln(x))/(x^2-1))^x as x approaches infinity

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 Exercise

$\lim_{x\to\infty}\left(\cos\frac{x\ln\left(x\right)}{x^2-1}\right)^x$

 Step-by-step Solution

 

The limit $\lim_{x\to\infty }\left(\cos\left(\frac{x\ln\left(x\right)}{x^2-1}\right)^x\right)$ 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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 Exercise

 Step-by-step Solution

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Final answer to the exercise  