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lim(h to 0) ((e+h)^(In(e+h))-e)/(h) is-...

`lim_(h to 0) ((e+h)^(In(e+h))-e)/(h)` is-

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`"Limit is "f'(e)" where "f(x)=x^(In x)=e^(In^(2)x)`
`therefore" "f'(x)=e^(In^(2)x).(2 In x)/(x)`
`"or "f'(e)=e.(2)/(e)=2`
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CENGAGE-DIFFERENTIATION-Exercise (Numerical)
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  17. If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...

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  18. Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value ...

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  19. y=f(x) , where f satisfies the relation f(x+y)=2f(x)+x y(y)+ysqrt(f(x)...

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