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CBSE Class 11-science Answered

F i n d space t h e space v a l u e space o f space limit as x rightwards arrow 0 of left parenthesis 1 plus k x right parenthesis to the power of 1 over x end exponent Please provide solution to this question
Asked by Topperlearning User | 16 Nov, 2016, 04:42: AM
answered-by-expert Expert Answer

limit as x rightwards arrow 0 of left parenthesis 1 plus k x right parenthesis to the power of 1 over x end exponent equals e to the power of limit as x rightwards arrow 0 of 1 over x log left parenthesis 1 plus k x right parenthesis end exponent to the power of limit as x rightwards arrow 0 of 1 over x log left parenthesis 1 plus k x right parenthesis end exponent equals limit as x rightwards arrow 0 of fraction numerator k log left parenthesis 1 plus k x right parenthesis over denominator k x end fraction equals k e to the power of limit as x rightwards arrow 0 of 1 over x log left parenthesis 1 plus k x right parenthesis end exponent equals e to the power of k

Answered by | 16 Nov, 2016, 06:42: AM
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