CBSE Class 11-science Answered

Asked by Topperlearning User | 28 Jul, 2014, 11:20: AM

Expert Answer

$limit as x rightwards arrow 0 of fraction numerator e to the power of x squared minus cos space x over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator e to the power of x squared end exponent minus 1 minus cos space x plus 1 over denominator x squared end fraction equals limit as x rightwards arrow 0 of fraction numerator e to the power of x squared end exponent minus 1 over denominator x squared end fraction minus limit as x rightwards arrow 0 of fraction numerator 1 minus cos space x over denominator x squared end fraction L e t space x squared equals z comma space W h e n space x rightwards arrow 0 comma space t h e n space z rightwards arrow 0 equals limit as z rightwards arrow 0 of fraction numerator e to the power of z minus 1 over denominator z end fraction minus limit as x rightwards arrow 0 of fraction numerator 2 space sin squared begin display style x over 2 end style over denominator begin display style x squared over 4 end style end fraction.1 fourth equals 1 minus limit as x rightwards arrow 0 of open parentheses fraction numerator sin begin display style x over 2 end style over denominator begin display style x over 2 end style end fraction close parentheses squared.1 half equals 1 minus 1 half equals 1 half$

Answered by | 28 Jul, 2014, 01:20: PM

CBSE Class 11-science Answered

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