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Please solve without using L'hopital rule
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Asked by g_archanasharma | 05 Mar, 2019, 18:34: PM
answered-by-expert Expert Answer
begin mathsize 12px style limit as x rightwards arrow 0 of fraction numerator sin 3 x space plus space sin 5 x over denominator sin 6 x space minus space sin 4 x end fraction space equals limit as x rightwards arrow 0 of fraction numerator 2 space sin 4 x space cos x over denominator 2 space sin x space cos x 5 x end fraction space equals limit as x rightwards arrow 0 of fraction numerator begin display style fraction numerator sin begin display style 4 end style begin display style x end style over denominator 4 x end fraction cross times 4 cross times cos x end style over denominator begin display style fraction numerator sin begin display style x end style over denominator x end fraction cos 5 x end style end fraction space equals space 4 end style
Answered by Thiyagarajan K | 06 Mar, 2019, 01:00: AM

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