`underset(xtooo)lim((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "`

lim_(xtooo) ((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2))" is equal to "

underset(xrarr3)"lim"(x^(3)-27)/(x^(2)-9)= ?

Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If underset(x to 0)lim[1+(f(x))/(x^(2))]=3 , then f(2) is equal to-

lim_(xtooo) (e^(1//x^(2))-1)/(2tan^(-1)(x^(2))-pi) is equal to

underset(xrarr0)"lim"(e^(3x)-1)/(x) =

The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "

lim_(xtooo) (1)/(x+1)tan((pix+1)/(2x+2)) is equal to

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

lim_(xtooo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

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)"