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MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

lim⁡x→1−nxn+1−(n+1)xn+1(ex−e)sin⁡πx\lim_{x\to1^-}\frac{nx^{n+1}-(n+1)x^n+1}{(e^x-e)\sin\pi x}, where n=100n=100, is equal to (1) 5050πe\frac{5050}{\pi e} (2) 100πe\frac{100}{\pi e} (3) −5050πe-\frac{5050}{\pi e} (4) −4950πe-\frac{4950}{\pi e}

Related theory

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