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Question Number 11648 by uni last updated on 29/Mar/17

$$\mid \mathrm{x}\mid <\mathrm{l}$$$$\underset{\mathrm{n}=1}{\sum ^{\mathrm{\infty }}}{\mathrm{x}}^{\mathrm{n}}=?$$

Answered by Nayon last updated on 29/Mar/17

$$$$$$$$$$=x^1+x^2+x^3+..........$$$$letp=x+x^2+x^3+x^4+.....$$$$=>px=x^2+x^3+x^4+.........$$$$=>p-px=x$$$$=>p(1-x)=x$$$$=>p=\frac{x}{1-x}$$$$$$

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