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E v a l u a t e space limit as x rightwards arrow 0 of fraction numerator 1 minus cos 2 x over denominator 1 minus cos x end fraction

Please provide solution to this question

Asked by Topperlearning User 16th November 2016, 2:01 AM
Answered by Expert
Answer:

limit as x rightwards arrow 0 of fraction numerator 1 minus cos 2 x over denominator 1 minus cos x end fraction
equals limit as x rightwards arrow 0 of fraction numerator 2 sin squared x over denominator 2 sin squared begin display style x over 2 end style end fraction
equals limit as x rightwards arrow 0 of fraction numerator sin squared x over denominator x squared end fraction limit as x rightwards arrow 0 of 4 fraction numerator begin display style x squared over 4 end style over denominator sin squared x over 2 end fraction space space space space space space left square bracket limit as x rightwards arrow 0 of fraction numerator sin x over denominator x end fraction equals 1 right square bracket
equals 4

Answered by Expert 16th November 2016, 4:01 AM
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