Limx- 01-x1-m-1-x1-m1-x1-n-1-x1-n-

The correct option is B n/m Using #160;L Hospital's rule and substituting x=0 , #160;we get #160; lim_x→ 01m(1+x)^1m 1+1m(1 x)^1m 11n(1+x)^ ...

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Substitution Method to Remove Indeterminate Form

limx→ 01+x1/m...

Question

$lim x \to 0 \frac{(1 + x)^{\frac{1}{m}} - (1 - x)^{\frac{1}{m}}}{(1 + x)^{\frac{1}{n}} - (1 - x)^{\frac{1}{n}}} =$

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\frac{m + n}{m - n}

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\frac{n}{m}

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\frac{m}{n}

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