evaluate the following expression- lt x--0 ( a x -b x ) x 2

Question

evaluate the following expression- lt x-->0 ( a x -b x ) x 2

Vikas TU · Answer

apply h-allopital two times. lt x-->0 ( a x -b x ) => lt x-->0 ((loga)^2 a x -(logb)^2b x )/2 => (loga)^2 – (logb)^2 x 2i

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evaluate the following expression- lt x-->0 ( a x -b x ) x 2

evaluate the following expression-
lt_{x-->0 (}a^x-b^x)
x²

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evaluate the following expression- lt x-->0 ( a x -b x ) x 2

evaluate the following expression-ltx-->0 (ax-bx ) x2

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evaluate the following expression-
lt_{x-->0 (}a^x-b^x)
x²