`underset(xrarroo)"lim"[(x)/(x-2)-(4)/(x^(2)-2x)]` is -

underset(xrarroo)(lim)(sinx/x)

Evaluate the following limits : underset(xrarr2)"lim"(x(x^(2)-4))/(x^(2)-5x+6)

Evaluate : underset(xrarr1)"lim "(x^(2)-3x+2)/(x^(2)-4x+3)

Prove : underset(xrarroo)"lim"(cosx)/(x)=0

Prove : underset(xrarroo)"lim"(sinx)/(x)=0

underset(xrarr4)"lim"(sqrt(x)-2)/(x-4)= ?

Evaluate : underset(xrarroo)"lim"(2x-5)/(3x+2)

The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

Statement -I : underset(xrarroo)"lim"(1^(2)/(x^(3))+(2^(2))/(x^(3))+3^(2)/(x^(3))+......+x^(2)/(x^(3)))= underset(xrarroo)"lim"(1^(2))/(x^(3))+underset(xrarroo)"lim"(2^(2))/(x^(3))+....+underset(xrarroo)"lim"(x^(2))/(x^(3))=0 Statement - II : underset(xrarra)"lim"{f_(1)(x)+f_(2)(x)+....+f_(n)(x)}=underset(xrarra)"lim"f_(1)(x)+underset(xrarra)"lim"f_(2)(x)+...+underset(xrarra)"lim"f_(n)(x)"

Evaluate : underset(xrarroo)"lim"(4x^(3)-3x^(2)+6x-2)/(3+5x^(2)+5x^(3))