Lim x -> 0 1-cos5x / x Thanks in advance
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Originally Posted by Afterme Lim x -> 0 1-cos5x / x Thanks in advance Lim 1-cos5x / x x -> 0 o/o tope You know the limit lim ( cosx-1)/ x = 0 x-->0 Lets use it Lim -(cos5x -1) / x x -> 0 multiply top and bottom by 5 Lim -5(cos5x -1) / 5x x -> 0 t = 5x Lim -5(cost -1) / t = 0 x -> 0
Originally Posted by Afterme Lim x -> 0 1-cos5x / x Thanks in advance $\displaystyle \lim_{x\to 0}{\frac{1 - \cos (5x)}{x}}= $ (by using l'hospital's rule) $\displaystyle \lim_{x\to 0}{5 \sin x}= 5 \sin 0= 5 \cdot 0 = 0$
Last edited by mr fantastic; Feb 9th 2009 at 02:25 AM. Reason: Tidied up the latex
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