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Today's calculation of Integral 651

Source:

September 20, 2010
calculusintegrationlimitfloor functioncalculus computations

Problem Statement

Find lim⁡n→∞∫02ne−2x∣x−2⌊x+12⌋∣ dx.\lim_{n\to\infty}\int _0^{2n} e^{-2x}\left|x-2\lfloor\frac{x+1}{2}\rfloor\right|\ dx.
1985 Tohoku University entrance exam/Mathematics, Physics, Chemistry, Biology
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