Evaluate`underset(xrarr3)lim[x(x+1)]` ?

Evaluate underset (xrarr1)lim[(x^(2)+1)/(x+100)] ?

Evaluate underset (xrarr0)lim(xsecx) ?

Evaluate underset(x rarr 0) lim [((x+1)^5-1)/x] .

Evaluate underset(xrarr0)lim ((x+1)^(2)-1)/(x) ?

Prove that underset(xrarr0)lim(sinx)/x=1 , where x measured in radians , Also evaluate underset(xrarr0)lim(sin4x)/x ?

Evaluate underset(xrarr0)lim[cosx/(pi-x)] ?

Evaluate underset (x rarr 1)lim(x^15-1)/(x^10-1) .

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

Evaluate underset(xrarr3)Lim(x-3)/(x^(2)-5x+6) ?

Evaluate underset(xrarr0)lim(x^(3)-64)/(x-4) ?