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

Note by Akhilesh Prasad
1 year, 9 months ago

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Parv Mor - 1 year, 9 months ago

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

Akhilesh Prasad - 1 year, 9 months ago

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

Parv Mor - 1 year, 9 months ago

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Thnaks a lot mate

Akhilesh Prasad - 1 year, 9 months ago

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

Akhilesh Prasad - 1 year, 9 months ago

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