Illustration : Limx→∞ ((x+a)(x+b)(...
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Illustration : Limx→∞  ((x+a)(x+b)(x+c))^1/3 - x

JEE/Engineering Exams
Maths
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Illustration : Limx→∞  ((x+a)(x+b)(x+c))^1/3 - x
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          Lim(x+a)(x+b)(x+c)13-x   1+a+b+cx+ab+bc+cax2+abcx213-x   using binomial apperoximation    =x1+13a+b=cx+ab+bc+cax2+abcx2-x = lim 13(a+b+c)+ab+bc+cax+abcx2 =a+b+c3

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