(2x+1)(2x-1)=3

The solution of (2x+3)/(2x-1)=(3x-1)/(3x+1) is

(2x-1)/((x-1)(2x+3))=1/(5(x-1))-k/(5(2x+3)) , then k =

((2x-1)/((x-1)(2x+3))=(1)/(5(x-1))+(k)/(5(2x+3))rArr k=

Add :5x^(2)-(1)/(3)x+(5)/(2),-(1)/(2)x^(2)+(1)/(2)x-(1)/(3) and -2x^(2)+(1)/(5)x-(1)/(6)

e^{(x-1)-1/2(x-1)^2+((x-1)^3)/3-(x-1)^(4)/4+......} is eqaul to

e^((x-1)-(1)/(2)(x-1)^(2)+((x-1)^(3))/(3)-((x-1)^(4))/(4)+...cdots) is eqaul to

If D(x)=det[[(x-1),(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3) then the coefficient of x in D(x), is ]]

Find the sum of the series e^(x-(1)/(2)(x -1)^(2) + (1)/(3) (x -1)^(3) - (1)/(4) (x -1)^(4) + ...

Solve ((2x+1)!)/((x+2)!)xx((x-1)!)/((2x-1)!)=(3)/(5)(x in N)

The value of (x-1)/(x+1)+(x^(2)-1)/(2(x+1)^(2))+(x^(3)-1)/(3(x+1)^(2))+......oo equals