`(2x+1)/((x+a)(bx-1))=(5)/(x+a)-(3)/(bx-1)rArr(a,b`

(a)/(ax-1)+(b)/(bx-1)=a+b,x!=(1)/(a),(1)/(b)

If (x^(4)+1)/((x-1)(x-2))=Ax^(2)+Bx+C-(2)/(x-1)+(17)/(x-2) then, the values of A, B and C are ?

lim_(x rarr-a)(1)/(x)[(1)/(x+a)+(b+a)/(x^(2)-bx+ax-ab)]

Evaluate: lim_(x rarr -a) (1)/(x)[(1)/(x+a)+(b+a)/(x^(2)-bx+ax-ab)]= ______.

If lim_(x rarr(1)/(2))(ax^(2)+bx+c)/((2x-1)^(2))=(1)/(2) then lim_(x rarr2)((x-a)(x-b)(x-c))/(x-2) is

If (3x+2)/((x+1)(2x^(2)+3))=(A)/(x+1)+(Bx+C)/(2x^(2)+3) then A+C-B=

IF (1)/(x(x^(2)+a^(2)))=(A)/(x)+(Bx+C)/(x^(2)+a^(2)) then tan^(-1)((A)/(B))

Solve for x:(a)/(ax-1)+(b)/(bx-1)=a+b;x!=(1)/(a),(1)/(b)

If ((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/(x^(2)+1) , then cosec^(-1)((1)/(A))+cot^(-1).(1)/(B)+sec^(-1)C = _________

If lim_(x rarr1)(1+ax+bx^(2))^((c)/(x-1))=e^(3) , then (1)/(17)(|(5b)/(a)|+4bc) is equal to