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Question #c11af

1 Answer

Jan 16, 2017

#lim_(x->0) (1-cos(2x))/x^2 = 2#

Explanation:

Use the identity:

#sin^2x = (1-cos(2x))/2#

So:

#lim_(x->0) (1-cos(2x))/x^2 = lim_(x->0) 2 sin^2x/x^2 = 2 lim_(x->0)(sinx/x)^2 = 2#

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