X- 1 lim x- x 2 - x 3 - x n x-1

lim_x→ 1(x+x^2+x^3+.......+x^n)x 1 =lim_x→ 11+2x+3x^2+.......+nx^n 11 =1+2+3+......+n =n(n+1)2 ...

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Rationalization Method to Remove Indeterminate Form

x→ 1 lim x+ x...

Question

$l i m x \to 1 \frac{(x + x^{2} + x^{3} + . . . . + x^{n})}{x - 1}$

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Solution

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