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lim(x rarr0)(1+x)^((1)/(x))...

lim_(x rarr0)(1+x)^((1)/(x))

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lim_(x rarr0)(1+2x)^((1)/(x)) = e^(2)

the value of lim_(x rarr0)(1+2x)^((1)/(x))

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

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

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

lim_(x rarr0)((1+x)^((1)/(4))-(1-x)^((1)/(5)))/(x)

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

lim_(x rarr0)((1+x)^((1)/(8))-(1-x)^((1)/(8)))/(x)

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

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