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Q.limx0ex+e2x++enxnx\lim_{x \to 0} \dfrac{e^x + e^{2x} + \cdots + e^{nx} - n}{x} equals

a
n(n+1)2\dfrac{n(n+1)}{2}
b
n(n+1)n(n+1)
c
n(n1)2\dfrac{n(n-1)}{2}
d
nn

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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