Confusion and Common Sense

Level pending

If f ( x ) {f}({x}) = i = 1 1 x i \sum_{i=1}^{\infty}\frac{1}{x^i} then f ( x ) = 1 / g ( x ) {f}({x})=1/{g}({x}) .Find g ( 75109 ) {g}({75109}) . x>1 or x<-1


The answer is 75108.

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1 solution

Aaryan Vaishya
Oct 18, 2019

Just a/1-r hidden. If the common ratio is equal to the first term, then the equation is r/1-r.Algebraically reduce using the inequalities shown or just try a few values,both ways you will get 1/x-1.G(x)=x-1.75109-1=75108.

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