180

Part of 2007 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 180

Source: Waseda university entrance exam 2007

a_{n}

be the area surrounded by the curves

y=e^{-x}

and the part of

y=e^{-x}|\cos x|,\ (n-1)\pi \leq x\leq n\pi \ (n=1,\ 2,\ 3,\ \cdots).

\lim_{n\to\infty}(a_{1}+a_{2}+\cdots+a_{n}).

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