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CBSE Class 12-science Answered

<div>Please help to find k given in the problem</div> <div>&nbsp;</div> <div><img alt="" 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
Asked by rajuharan | 03 Jul, 2016, 10:14: AM
Expert Answer
limit as straight x rightwards arrow 0 to the power of plus of straight f left parenthesis straight x right parenthesis space equals limit as straight x rightwards arrow 0 to the power of plus of fraction numerator square root of 1 plus kx end root space minus space square root of 1 minus kx end root over denominator straight x end fraction
equals limit as straight x rightwards arrow 0 to the power of plus of fraction numerator open square brackets square root of 1 plus kx end root space minus space square root of 1 minus kx end root close square brackets open square brackets square root of 1 plus kx end root space plus space square root of 1 minus kx end root close square brackets over denominator straight x open square brackets square root of 1 plus kx end root space plus space square root of 1 minus kx end root close square brackets end fraction
equals limit as straight x rightwards arrow 0 to the power of plus of fraction numerator open square brackets 1 plus kx minus 1 plus kx close square brackets over denominator straight x open square brackets square root of 1 plus kx end root space plus space square root of 1 minus kx end root close square brackets end fraction
equals limit as straight x rightwards arrow 0 to the power of plus of fraction numerator 2 kx over denominator straight x open square brackets square root of 1 plus kx end root space plus space square root of 1 minus kx end root close square brackets end fraction
equals limit as straight x rightwards arrow 0 to the power of plus of fraction numerator 2 straight k over denominator open square brackets square root of 1 plus kx end root space plus space square root of 1 minus kx end root close square brackets end fraction
equals fraction numerator 2 straight k over denominator open square brackets square root of 1 plus 0 end root space plus space square root of 1 minus 0 end root close square brackets end fraction
equals straight k


space limit as straight x rightwards arrow 0 to the power of minus of straight f left parenthesis straight x right parenthesis equals space limit as straight x rightwards arrow 0 to the power of minus of straight f left parenthesis straight x right parenthesis fraction numerator 2 straight x plus 1 over denominator straight x minus 2 end fraction equals fraction numerator 0 plus 1 over denominator 0 minus 2 end fraction equals negative 1 half

Given space that space straight f left parenthesis straight x right parenthesis space is space continuous space at space space straight x space equals space 0

therefore limit as straight x rightwards arrow 0 to the power of plus of straight f left parenthesis straight x right parenthesis space space equals space limit as straight x rightwards arrow 0 to the power of minus of straight f left parenthesis straight x right parenthesis space
rightwards double arrow straight k space equals space minus 1 half
Answered by Vijaykumar Wani | 04 Jul, 2016, 10:50: AM
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