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Calculus Level 4

If

$\large a_n=\int_{0}^{{\pi}/ {2}} (1-\sin{x})^n \sin{2x} \, dx$

, then

$\large \lim_{m\to\infty} \sum_{n=1}^{m} \frac{a_n}{n}$

equals?

None of these choices

\frac{3}{2}

\frac{1}{2}

\frac{4}{3}

1

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Excel in math and science

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by Navdeep Kaswan

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