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February 23rd, 2019, 07:55 AM   #1
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Limit Calculation

Hi, I am trying to solve the following limit



https://drive.google.com/open?id=1ll...XvBmLta1ozBcCW

Any help is welcome!!!!!!!

Last edited by soul33; February 23rd, 2019 at 07:57 AM.
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February 23rd, 2019, 08:35 AM   #2
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You can set the limit inside the $\displaystyle \cos$-function .
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February 23rd, 2019, 05:56 PM   #3
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$\lim \limits_{x\to \infty} \cos\left(\dfrac{\pi \sqrt{x^4+7}}{6x^2+5}\right) = $

$\lim \limits_{x\to \infty} \cos\left(\dfrac{\pi \sqrt{1+7x^{-4}}}{6+5x^{-2}}\right) =$

$\cos\left(\dfrac{\pi}{6}\right) = \dfrac{\sqrt{3}}{2}$
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