If `x-(2)/(x)=3` then `x^(3)-(8)/(x^(3))` is equal to

If x=3-sqrt(8), then x^3+1/(x^3) is equal to (a)6 (b) 198 (c) 6sqrt(2) (d) 102

If f(x)-3f((1)/(x))=2x+3(x ne 0) then f(3) is equal to

lim_(x to 0)(3^(2x)-2^(3x))/(x) is equal to

Lt_(x rarr1) (x^(3)+3x-4)/(2x^(2) + x-3) is equal to

int(dx)/((x^3-1)^(2/3)x^2) is equal to

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

STATEMENT-1 : If f((3x-4)/(3x+4))=x+2 , then intf(x)dx is equal to (2)/(3)x-(8)/(3)log|x-1|+c . and STATEMENT-2 : If f((3x-4)/(3x+4))=x+2 , then f(x)=(2)/(3)-(8)/(3(x-1)) .

Lt_(x to0)(tan3x-2x)/(3x-sin^(2)x) is equal to

lim_(x to 1//2) (8x^(3) - 1)/(16 x^(4) - 1) is equal to

lim _( x to 0) ((2 ^(x) + 3 ^(x) + 6 ^(x))/(3))^(3//x) [is equal to "_____."