(a)Find the limit `underset (x rarr 1)lim [x^3-x^2+1]`

Evaluate underset (x rarr 2)lim (x^3-8)/(x^2-4) .

(a) underset (x rarr 2)lim [x]=……..

Evaluate underset(x rarr 2)lim (x^4+3x^2+2) .

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

(a)Let f(x)=(sqrt (x+3))/(x+1) ,then left hand limit underset (x rarr -3)lim -f(x)=………….

Evaluate underset(x rarr 2)lim[(x^2-4)/(x^3-4x^2+4x)]

Find underset(x rarr 0)lim (1-cos x)/x .

Evaluate underset (x rarr 1)Lt (x^4-1)/(x-1)

Evaluate the following limits underset (x rarr 1)Lt (x^2-4x+3)/(x-1)

Evaluate underset (x rarr -1)Lim (x^2-5x+6)/(x-1) .