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Question Number 24542 by Tinkutara last updated on 20/Nov/17

$$Provethatcoefficientof{x}^{n}in$$$$\frac{a+bx+{cx}^2}{e^x}is\frac{{(-1)}^n}{n!}[{cn}^2-(b+c)n+a]$$

Commented by Tinkutara last updated on 20/Nov/17

$$\mathrm{Thank}\mathrm{you}\mathrm{very}\mathrm{much}\mathrm{Sir}!$$

Commented by prakash jain last updated on 20/Nov/17

$$\frac{1}{e^x}=e^{-x}=1-x+\frac{x^2}{2!}+-...$$$$\mathrm{multiply}\mathrm{to}\mathrm{get}\mathrm{the}\mathrm{required}\mathrm{answer}$$

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