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 December 23rd, 2018, 06:13 AM #1 Member   Joined: Feb 2018 From: Iran Posts: 52 Thanks: 3 Limit problem How can I solve this question without using derivatives? Last edited by Elize; December 23rd, 2018 at 06:18 AM. December 23rd, 2018, 06:26 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,675 Thanks: 2655 Math Focus: Mainly analysis and algebra Multiply numerator and denominator by $\cos x +\sqrt{\cos 2x}$. Thanks from greg1313 and topsquark December 24th, 2018, 07:25 AM   #3
Member

Joined: Feb 2018
From: Iran

Posts: 52
Thanks: 3

Quote:
 Originally Posted by v8archie Multiply numerator and denominator by $\cos x +\sqrt{\cos 2x}$.
I did still couldn't solve it  December 24th, 2018, 08:37 AM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,675 Thanks: 2655 Math Focus: Mainly analysis and algebra \begin{align}(\cos x - \sqrt{\cos 2x})(\cos x + \sqrt{\cos 2x}) &= \cos^2 x - \cos 2x \\ &= \cos^2 x - (\cos^2 x - \sin^2 x) \\ &= \sin^2 x\end{align} Thanks from topsquark and Elize Tags limit, problem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post PhizKid Calculus 6 September 18th, 2012 03:21 AM shin777 Calculus 3 July 12th, 2012 10:47 AM wawar05 Calculus 1 March 10th, 2012 04:44 AM mami Calculus 2 December 5th, 2011 07:54 AM cedricdb Calculus 3 June 1st, 2010 09:50 PM

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