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Differential Calculus

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28 Nov 2011 10:35:22 IST

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find Lt x tends to 1 (1-x)tanpix/2

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^{_{find Lt x tends to 1 (1-x)tanpix/2}}

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AMAN ABHISHEK

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30 Nov 2011 00:44:00 IST

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[edited for surrogate advertising. discussion removed. warning issued - moderator]

santanu sinha

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30 Nov 2011 07:49:30 IST

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2/pi

Arjun Virmani

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6 Jan 2012 04:00:23 IST

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(1-x) tan pix/2 = (1-x) / cot pix/2.

now apply L'Hospital Rule!!

differentiate num and den separately!!

y (say) = -1 / [ - cosec²(pix/2) * pi/2 ] = 2 / pi * csc² (pix/2)

at lim x tends 1... y = 2 / pi...........ans!!!

Abhishek Kumar

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6 Jan 2012 10:29:47 IST

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Lt (x )->1(1-x) implies x->1/2

so Lt x->1/2 tanpi/2=tan (pi*i)/2*2=tan(pi/4)=1 !!

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