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Please solve without using L'hopital rule
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Asked by g_archanasharma | 05 Mar, 2019, 18:35: PM
answered-by-expert Expert Answer
begin mathsize 12px style limit as x rightwards arrow 0 of fraction numerator 1 minus cos 2 x over denominator cos 2 x minus cos 8 x end fraction space equals space limit as x rightwards arrow 0 of fraction numerator 2 space sin squared x over denominator 2 sin 5 x space sin 3 x end fraction space equals space space limit as x rightwards arrow 0 of fraction numerator begin display style fraction numerator begin display style sin squared end style begin display style x end style over denominator x squared end fraction end style over denominator begin display style 15 fraction numerator sin begin display style 5 end style begin display style x end style over denominator 5 x end fraction fraction numerator sin begin display style 3 end style begin display style x end style over denominator 3 x end fraction end style end fraction space equals 1 over 15 end style
Answered by Thiyagarajan K | 06 Mar, 2019, 00:39: AM

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