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

(5)/(2)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)

lim_(x rarr0)((1+x)^(5)-1)/(3x+5x^(2))