UnkleRhaukus
\[=\sum\limits_{r=1}^\infty\frac{(1)^r}{12r}\]
\[=1\frac13+\frac15\frac17+\dots\]



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UnkleRhaukus
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\[\large=\frac\pi4\]

UnkleRhaukus
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@experimentX


experimentX
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\[ \int_0^1{1 \over 1+x^2}dx = \arctan(1) = {\pi \over 4} \]


experimentX
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\[ f(u) = \int_0^u {1\over 1+x^2}dx = \int_0^u(1x^2 + x^4  x^5 + ...)dx \\\]
put 'u=1'

UnkleRhaukus
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hmm

sauravshakya
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dw:1356251299233:dw

sauravshakya
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I guess he was trying to say that

sauravshakya
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dw:1356251680713:dw

sauravshakya
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So,dw:1356251895939:dw

experimentX
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yep!! that's correct ...