3(1-x)<2(x+4)

lim_(x rarr1)[((4)/(x^(2)-x^(-1))-(1-3x+x^(2))/(1-x^(3)))^(-1)+3(x^(4)-1)/(x^(3)-x^(-1))]

tan^(-1)((3x-x^(3))/(1-3x^(2)))

Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

Prove that 3 tan^-1 x = tan^-1(3x-x^3)/(1-3x^2), |x| < 1/sqrt3

y = tan ^ (- 1) [(3x-x ^ (3)) / (1-3x ^ (2))], - (1) / (sqrt (3))

y = tan^(-1)((3x-x^3)/(1-3x^2)), 1/(sqrt3) , x , 1/(sqrt3) .

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

If (3x-1)^3+(4x-3)^3+ (2x+1)^3= 3(3x - 1)(4x - 3)(2x +1) and x ne 1/3 then x=? यदि (3x-1)^3+(4x-3)^3+ (2x+1)^3= 3(3x - 1)(4x - 3)(2x +1) है तथा x ne 1/3 है, तो x=?

If |[3,-3],[1,3]|=|[3,x],[1,-x]| the value of