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" (34) "lim(x rarr0)(e-(1+x)^(1/x))/(tan...

" (34) "lim_(x rarr0)(e-(1+x)^(1/x))/(tan x)

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The value of lim_(x rarr0)(e-(1+x)^((1)/(x)))/(tan x) is

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

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

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

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

lim_(x rarr0)((1-x)^(n)-1)/(x)

lim_(x rarr0)(1/x)^(1-cos x)

lim_(x rarr0)(cot^(-1)(1/x))/(x)

lim_(x rarr0)((e^(x)-x-1)/(x))

lim_(x rarr0)(e^(sin x)-1)/(x)