" (6)."(1-x^(2))/(x(1-2x))

Evaluate : lim_(x to 0 ) ((1+6x^(2))/(1+4x^(2)))^(1/(x^(2)))

Prove that, underset(x to 0) lim ((1+6x^(2))/(1+2x^(2)))^(1/x^(2))=e^(4)

If x^(4) - 3x^(2) - 1 = 0 , then the value of (x^(6)-3x^(2)+(3)/(x^(2))-(1)/(x^(6))+1) is :

If x^(6)+1/(x^(6))=k(x^(2)+1/(x^(2))) then k is equal to

x=(6-sqrt(32))/(2) thenfindthevalueof (x^(3)+(1)/(x^(3)))-6(x^(2)+(1)/(x^(2)))+(x+(1)/(x))

If x=(6-sqrt(32))/(2), then find the value of (x^(3)-(1)/(x^(3)))^(2)-6(x^(2)+(1)/(x^(2)))+(x+(1)/(x))

Prove that : 1/6tan^(-1)""(2x)/(1-x^2)+1/9tan^(-1)""(3x-x^2)/(1-3x^2)+1/12 tan^(-1)""(4x-4x^3)/((1-6x^2+x^4))= tan^(-1)x

(x^(2)+(1)/(x^(2)))-4(x+(1)/(x))+6

int((x^(- 6)-64)/(4+2x^(- 1)+x^(- 2))*(x^2)/(4-4x^(- 1)+x^(- 2))-(4x^2(2x+1))/(1-2x))dx