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[Post New]23 Mar 2008 15:42:35 IST
    Subject: Re:Find the limit
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hash_include (381)

Scorching goIITian

Olaaa!! Perrrfect answer. 59  [102 rates]
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2.
lim x(1 + rac 1 x + rac 1 {x^2})^{ rac 1 3} - x

= lim rac {( rac 1 x + rac 1 {x^2})^{ rac 1 3} - 1}{ rac 1 x}

apply Lhospital

rac { rac 1 3( rac 1 x + rac 1 {x^2})^{ rac {-2} 3})( rac {-1}{x^2} + rac {-3}{x^4})}{ rac {-1} {x^2}}

solving we get answer = rac 1 3
Smile

EDIT: sorry dint see that 'without lhospital'
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