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Please solve without using L'hopital rule
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Asked by g_archanasharma | 06 Mar, 2019, 06:08: AM
answered-by-expert Expert Answer
begin mathsize 16px style e to the power of b x end exponent space equals space 1 plus space b x space plus space left parenthesis t e r m s space o f space x squared space a n d space h i g h e r space p o w e r s space right parenthesis e to the power of a x end exponent space equals space 1 plus a x plus space left parenthesis t e r m s space o f space x squared space a n d space h i g h e r space p o w e r s space right parenthesis e to the power of b x end exponent minus space e to the power of a x end exponent space equals space left parenthesis b minus a right parenthesis x space plus left parenthesis t e r m s space o f space x squared space a n d space h i g h e r space p o w e r s space right parenthesis L space equals space limit as x rightwards arrow 0 of fraction numerator e to the power of b x end exponent minus space e to the power of a x end exponent over denominator x end fraction space space equals space limit as x rightwards arrow 0 of left parenthesis b minus a right parenthesis space plus space left parenthesis space t e r m s space c o n t a i n g space x space a n d space h i g h space p o w e r s space o f space x space right parenthesis L space equals space left parenthesis b minus a right parenthesis end style
Answered by Thiyagarajan K | 06 Mar, 2019, 10:04: AM

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