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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

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Asked by Topperlearning User 16th November 2016, 4:42 AM
Answered by 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 Expert 16th November 2016, 6:42 AM
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