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Question

Multivariable Calculus Question on Integral Calculus

The value of
limn(n01xnx+1dx)\lim\limits_{n\rightarrow \infin}\left(n\int\limits^1_0\frac{x^n}{x+1}dx\right)
is equal to __________ . (rounded off to two decimal places)

Answer

The correct answer is 0.49 to 0.51. (approx)