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[" A function "y=f(x)" satisfying the di...

[" A function "y=f(x)" satisfying the differential "],[" equation "(dy)/(dx)*sin x-y cos x+(sin^(2)x)/(x^(2))=0" is such "],[" that "y rarr0" as "x rarr oo," then "]

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A function y=f(x) satisfying the differential (dy)/(dx)*sin x-y cos x+(sin^(2)x)/(x^(2))=0 such that y rarr0 as x rarr oo then :

lim_(x rarr0)(sin^(2)x)/(x)=

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lim_(x rarr0)(8sin x-x cos x)/(3tan x+x^(2))

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If lim_(x rarr0)(a sin x+b cos x+ce^(x))/(x^(2))=2, then