f-x-i-1-a-i-x-i-a-i-A-constant-independent-of-x-Is-the-below-statement-correct-lim-x-0-f-x-0-If-not-give-an-example-

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Question Number 394 by prakash jain last updated on 27/Dec/14

$$f\left(x\right)=\underset{i=1}{\sum ^{\mathrm{\infty }}}{a}_i{x}^i$$$$a_i\mathrm{A}\mathrm{constant}\mathrm{independent}\mathrm{of}x$$$$\mathrm{I}s\mathrm{the}\mathrm{below}\mathrm{statement}\mathrm{correct}?$$$$\underset{x\to 0}{\lim }f\left(x\right)=0$$$$\mathrm{If}\mathrm{not}\mathrm{give}\mathrm{an}\mathrm{example}.$$

Commented by 123456 last updated on 27/Dec/14

$$f\left(x\right)=\underset{i=1}{\sum ^{\mathrm{\infty }}}i!x^i?$$

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