lim_(x→0) ((1−cos x (√(cos 2x)) ((cos 3x))^(1/(3 )) ((cos 4x))^(1/(4 )) )/x^2 )


Question and Answers Forum

All Questions Topic List
Limits Questions
Previous in All Question Next in All Question
Previous in Limits Next in Limits
Question Number 115999 by bemath last updated on 30/Sep/20

$\lim_{x \to 0} \frac{1 - \cos x \sqrt{\cos 2 x} \sqrt[3]{\cos 3 x} \sqrt[4]{\cos 4 x}}{x^{2}}$
	Answered by bobhans last updated on 30/Sep/20

	$s h o r t c u t^{'} m r j o h n s a n t u^{'}$ $\lim_{x \to 0} \frac{1 - \cos x \sqrt{\cos 2 x} \sqrt[3]{\cos 3 x} \sqrt[4]{\cos 4 x}}{x^{2}}$ $= \frac{1}{2} (1^{2} + \frac{2^{2}}{2} + \frac{3^{2}}{3} + \frac{4^{2}}{4})$ $= \frac{1}{2} (1 + 2 + 3 + 4) = 5$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum