If `x^(2)+2x^(3)<=x+f(x)<=x^(5)-2x^(3)` for value of x near 0 then `lim_(x rarr0)(f(x))/(x)` is

Draw the graph of y=||x|^(2)-2|x|-3|, if y=x^(2)-2x-3

If y=x+(x^(2))/(2)+(x^(3))/(3)+....oo , then x =

If |x|lt1 and y=x-(x^(2))/(2)+(x^(3))/(3)-(x^(4))/(4)+... , then x =

In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11) , the coefficient of x^(60) is :

The domain of f(x) = (x^(2))/(x^(2) - 3x + 2) is :

Find the nth term of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+....

If sqrt((2x^(2)+x+2)/(x^(2)+3x+1))+2"."sqrt((x^(2)+3x+1)/(2x^(2)+x+2))-3=0 , find x.

A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is

int(x^3)/(x+1)\ dx is equal to (a) x+(x^2)/2+(x^3)/3-log|1-x|+C (b) x+(x^2)/2-(x^3)/3-log|1-x|+C (c) x-(x^2)/2-(x^3)/3-log|1+x|+C (d) x-(x^2)/2+(x^3)/3-log|1+x|+C

If (3x+2)/(2x+3)=(4x+3)/(3x+4) , then x =