`x/(x-1)+1/(x+1)+(2x)/(1-x^2)=?` (a) 1 (b) 2 (c) 3 (d) 4

The value of (1-x^4)/(1+x)+(1+x^2)/xxx1/(x(1-x)) is (a) 1 (b) 1-x^2 (c) 1/x (d) 1+x (e) None of these

If x is positive,the sum to infinity of the series (1)/(1+x)-(1-x)/((1+x)^(2))+((1-x)^(2))/((1+x)^(3))-((1-x)^(3))/((1+x)^(4))+is1/2 (b) 3/4 (c) 1 (d) none of these

If (x+(1)/(x))=3, then (x^(2)+(1)/(x^(2)))=?( a )7( b) 9(c)10(d)27

Let a,b,c be such that (1)/((1-x)(1-2x)(1-3x))=(a)/(1-x)+(b)/(1-2x)+(c)/(1-3x) then (a)/(1)+(b)/(3)+(c)/(5)

intdx/(sqrt(x)(1+x^2)^(5/4))= (A) (2x)/(1+x^2)^(1/4)+c (B) (2sqrt(x))/(1+x^2)^(1/4)+c (C) (2sqrt(x))/(1+x^2)+c (D) none of these

(d)/(dx)[log{e^(x)((x-2)/(x+2))^(3/4)}] equals (x^(2)-1)/(x^(2)-4) (b) 1 (c) (x^(2)+1)/(x^(2)-4) (d) e^(x)(x^(2)-1)/(x^(2)-4)

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

If y=log((1-x^(2))/(1+x^(2))), then (dy)/(dx)=(4x^(3))/(1-x^(4))( b) -(4x)/(1-x^(4))( c) (1)/(4-x^(4))(d)-(4x^(3))/(1-x^(4))

If sec theta+tan theta=x, then tan theta=(x^(2)+1)/(x) (b) (x^(2)-1)/(x)( c) (x^(2)+1)/(2x) (d) (x^(2)-1)/(2x)

The sum of the sereis 1+2^2x+3^2x^2+4^2x^3+…..oo where -1ltxlt1= (A) (1+x)/((1-x))^3 (B) x/((1+x)^3) (C) (1-x^2)/((1+x)^3) (D) none of these