If lim⁡x→1x+x2+x3+⋯+xn−nx−1=820,(n∈N)\lim_{x \rightarrow 1} \frac{x + x^2 + x^3 + \dots + x^n - n}{x - 1} = 820, (n \in N)…

Mathematics

Problem

If lim⁡x→1x+x2+x3+⋯+xn−nx−1=820,(n∈N)\lim_{x \rightarrow 1} \frac{x + x^2 + x^3 + \dots + x^n - n}{x - 1} = 820, (n \in N) then the value of nn is equal to (a) 40 (b) 41 (c) 50 (d) 100

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