Interesting Trigonometric Limit

Calculus Level 5

lim ⁡ n → ∞ n 2 ∫ − 1 n 1 n ( sin ⁡ ( x ) + 20150619 cos ⁡ ( x ) + x ) ∣ x ∣ d x = ? \large \lim_{n\to\infty} n^2 \int_{-\frac1n}^{\frac1n} (\sin(x) + 20150619\cos(x) + x) |x| \, dx = \ ?


The answer is 20150619.

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Satyajit Mohanty by Satyajit Mohanty , 24, India

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2 solutions

Raj Rajput
Jul 28, 2015

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Satyajit Mohanty
Jul 7, 2015

And thus our α \alpha = 20150619

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice question ! : ) :) .

Keshav Tiwari - 5 years, 11 months ago

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Thanks, Satyajit

Satyajit Mohanty - 5 years, 11 months ago

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Done ! : ) :)

Keshav Tiwari - 5 years, 11 months ago

So interesting with your solution ^_^

Muhammad Maulana - 5 years, 7 months ago

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