Evaluate `lim_(x rarr1)(x^(n)+1)/(x^(n)-1)`

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

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

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

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

Evaluate: lim_(x rarr oo) [(4x^(n)+1)/(5x^(n)+5)] .

Evaluate :lim_(x rarr1)((2)/(1-x^(2))+(1)/(x-1))

Leg p_(n)=a^(P_(n-1))-1,AA n=2,3,..., and let P_(1)=a^(x)-1 where a in R^(+). Then evaluate lim_(x rarr0)(P_(n))/(x)

The value of lim_(x rarr1)(x^(n)+x^(n-1)+x^(n-2)+...x^(2)+x-n)/(x-1)

Find value of a if lim_(x rarr1)(x^(4)-1)/(x-1)=lim_(x rarr a)(x^(3)-a^(3))/(x^(2)-a^(2))

Evaluate ( i ) quad lim_(x rarr1)(x^(15)-1)/(x^(10)-1) (ii) lim_(x rarr0)(sqrt(1+x)-1)/(x)