1.Which of the following functions is an odd function?(where sgn(x)\operatorname{sgn}(x)sgn(x) denotes signum function of xxx)a.∣x−2∣+(x+2)sgn(x+2)|x-2| + (x+2)\operatorname{sgn}(x+2)∣x−2∣+(x+2)sgn(x+2)b.1x(ex−1)+12x\frac{1}{x(e^x - 1)} + \frac{1}{2x}x(ex−1)1+2x1c.log(sinx+1+sin2x)\log\left(\sin x + \sqrt{1+\sin^2 x}\right)log(sinx+1+sin2x)d.e−4x(e2x−1)4e^{-4x}(e^{2x} - 1)^4e−4x(e2x−1)4Login to continueOnly logged in users canattempt or see the solution.