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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 $$\displaystyle \lim _{ x\to -\infty }{ f\left( x \right) }$$.

11 months, 2 weeks ago

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0 · 11 months, 2 weeks ago

Yes that is the answer. Now, if you could please post the solution. · 11 months, 2 weeks ago

F(x) = ae^(bx) Expand by taylor series and you will understand · 11 months, 2 weeks ago

Thnaks a lot mate · 11 months, 2 weeks ago