(1) Evaluate `lim_x->1[x^3-x^2+1]`

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

Find the limits: (i) (lim)_(x->1)[x^3-x^2+1] (iii) (lim)_(x->3)[x(x+1)] (iii) (lim)_(x->1)[1+x+x^2+. . . . .+x^(10)]

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

Evaluate: lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

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_(xtooo)(1+2/x)^(x)

If the function f(x) satisfies (lim)_(x->1)(f(x)-2)/(x^2-1)=pi, evaluate (lim)_(x->1)f(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)(e-(1+x)^(1/x))/x