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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=(1+x)nf(x)=(1+x)^{n }, then f(0)+f(0)+12f′(0)+…+1n!fn(0)=……f(0)+f(0)+\frac{1}{2} f^{\prime}(0)+\ldots+\frac{1}{n !} f^n(0)=\ldots \ldots
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Correct option: B
2n2^n
Option B (2n2^n) is correct because the given expression is the binomial expansion of (1+1)n(1+1)^n.

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