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CBSE Class 11-science Answered

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Asked by knb.hamsi | 31 Jan, 2020, 08:32: PM
answered-by-expert Expert Answer
To evaluate: limit as x rightwards arrow straight pi of fraction numerator 1 plus cos cubed x over denominator sin squared x end fraction
limit as x rightwards arrow straight pi of fraction numerator 1 plus cos cubed x over denominator sin squared x end fraction
equals limit as x rightwards arrow straight pi of fraction numerator open parentheses 1 plus cos x close parentheses open parentheses 1 plus cos squared x minus cos x close parentheses over denominator 1 minus cos squared x end fraction
equals limit as x rightwards arrow straight pi of fraction numerator open parentheses 1 plus cos x close parentheses open parentheses 1 plus cos squared x minus cos x close parentheses over denominator open parentheses 1 minus cos x close parentheses open parentheses 1 plus cos x close parentheses end fraction
equals limit as x rightwards arrow straight pi of fraction numerator open parentheses 1 plus cos squared x minus cos x close parentheses over denominator open parentheses 1 minus cos x close parentheses end fraction
equals limit as x rightwards arrow straight pi of open parentheses 1 plus fraction numerator cos squared x over denominator 1 minus cos x end fraction close parentheses
equals 1 plus fraction numerator 1 over denominator 1 minus open parentheses negative 1 close parentheses end fraction equals 1 plus 1 half equals 3 over 2
Answered by Renu Varma | 03 Feb, 2020, 11:47: AM
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limit as straight x rightwards arrow 1 of open parentheses 2 minus straight x close parentheses to the power of tan πx over 2 end exponent
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