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x-lt-l-n-1-x-n-




Question Number 11648 by uni last updated on 29/Mar/17
∣x∣<l  Σ_(n=1) ^∞ x^n =?
x∣<ln=1xn=?
Answered by Nayon last updated on 29/Mar/17
    =x^1 +x^2 +x^3 +..........  let p=x+x^2 +x^3 +x^4 +.....  =>px=x^2 +x^3 +x^4 +.........  =>p−px=x  =>p(1−x)=x  =>p=(x/(1−x))
=x1+x2+x3+.letp=x+x2+x3+x4+..=>px=x2+x3+x4+=>ppx=x=>p(1x)=x=>p=x1x

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