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lim(x->0) ((1+x)^(1/3)-1)/x=1/3...

`lim_(x->0) ((1+x)^(1/3)-1)/x=1/3`

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Prove that lim_(x rarr0)((1+x)^(1/2)-1)/((1+x)^(1/3)-1)=(3)/(2)

lim_(x to 0) ((1 + x)^(5) -1)/((1 + x)^(3) - 1) is equal to

lim_(x to 0) ((1 + x)^(5) -1)/((1 + x)^(3) - 1) is equal to

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

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