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# Help: Derivative of Function

if $$f(x)$$ is a function such that $$f\left( 0 \right) =a, f^{ ' }\left( 0 \right) =ab, f^{ '' }\left( 0 \right) =a{ b }^{ 2 }, f^{ ''' }\left( 0 \right) =a{ b }^{ 3 },$$ and so on and $$b>0$$, where dash denotes the derivatives, then compute $$\displaystyle \lim _{ x\to -\infty }{ f\left( x \right) }$$.

2 years, 1 month ago

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- 2 years, 1 month ago

Yes that is the answer. Now, if you could please post the solution.

- 2 years, 1 month ago

F(x) = ae^(bx) Expand by taylor series and you will understand

- 2 years, 1 month ago

Thnaks a lot mate

- 2 years, 1 month ago

@parv mor, @Rishabh Cool, Please can you provide a solution.

- 2 years, 1 month ago