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Limits Continuity and Differentiability question

2020 · 2 Sep · Shift 1 · Q28
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  5. /2020 · 2 Sep · Shift 1 · Q28

Limits Continuity and Differentiability question

2020 · 2 Sep · Shift 1 · Q28

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1
If lim⁡x→1x+x2+x3+...+xn−nx−1\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + {x^3} + ... + {x^n} - n} \over {x - 1}}x→1lim​x−1x+x2+x3+...+xn−n​= 820, (n ∈\in∈ N) then the value of n is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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