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

underset (xrarr0)lim x^(x)

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

Evaluate: underset(xrarr1)lim (x^15 -1)/(x^10 - 1)

Evaluate: underset(xrarr0)lim xlog x

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

Evaluate underset(xrarr0)lim (e^(2x)-1)/(sinx) .

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

Evaluate underset(xrarr0)(lim)((x+3)/(1+x))^((x^2+2x-3)/(x-1))

Evaluate : underset(xrarr3)"lim"(sqrt(x-3)+sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)

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