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" 6."lim(x rarr0)((1+x)^(6)-1)/((1+x)^(2...

" 6."lim_(x rarr0)((1+x)^(6)-1)/((1+x)^(2)-1)

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Evaluate the following limit: (lim)_(x rarr0)((1+x)^(6)-1)/((1+x)^(2)-1)

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lim_(x rarr0)((1+x)^(9)-1)/((1+x)^(6)-1)=(3)/(2)