Evaluate `lim_(x->1) (x^5-1)/(x-1)`

Evaluate(i) (lim)_(x->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)_(x->0)(sqrt(1+x)-1)/x

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

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

Evaluate : lim_(x to 1) (x^(m)-1)/(x^(n)-1)

Evaluate: lim_(xrarr1) (x-1)/(2x^(2)-7x+5)

Evaluate lim_(xtooo) x^((1)/(x)).

Evaluate : lim_(x to -1) x/([x])

Evaluate (i) (lim)_(x""->1)(x^(15)-1)/(x^(10)-1) (ii) (lim)_(x""->0)(sqrt(1+x)-1)/x

Evaluate: lim_(x->0) (1-cos2x)/(x^2)

Evaluate: (lim)_(x->1)3x^2+4x+5