" 15."(x^(3))/((2x-1)(x-1)^(2))

Find the term independent of x , where x != 0 , in the expansion of ((3x^(2))/(2) - (1)/(3x))^(15) .

Find the term independent of x , where x != 0 , in the expansion of ((3x^(2))/(2) - (1)/(3x))^(15) .

Factorize following expressions (i) (x+1)(x+2)(x+3)(x+4)-15" (ii)"4x(2x+3)(2x-1)(x+1)-54 (iii) (x-3)(x+2)(x+3)(x+8)+56

Determine the partial fraction decomposition of (x^2+3x-15)/((x^2+9)(x^2+x+1))

Find the term independent of x in the expansion of : (i) (2x+1/(3x^(2)))^(9) (ii) ((3x^(2))/2-1/(3x))^(6) (iii) (x-1/x^(2))^(3n) (iv) (3x-2/x^(2))^(15)

If |x| is so small that x^2 and higher powers of x may be neglected, then an approximately value of ((1+(2)/(3)x)^(-3) (1-15x)^(-1//5))/((2-3x)^4) is

tan^-1((2x)/(1-15x^2))