Lim_(x rarr1)(x)^((1)/(1-x))=(1)/(e)

Similar Questions

Explore conceptually related problems

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

lim_(x rarr1)([x])^((1)/(x-1))

lim_(x rarr0)[((1+x)^((1)/(x)))/(e)]^((1)/(x))

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

Evaluate: lim_(x rarr0)((1+x)^((1)/(x))-e+(1)/(2)ex)/(x^(2))

The value of lim_(x rarr0)((1+x)^((1)/(x))-e+(1)/(2)ex)/(x^(2)) is

lim_(x rarr1)(x^(2)-1)/(x-1)

lim_(x rarr1)(x^(3)-1)/(x-1)

lim_(x rarr1)(x^(2)-1)/(x-1)

Evaluate lim_(x rarr0)(e^((1)/(x))-1)/(e^((1)/(x))+1),x!=0