The values of p and q so that the function `f(x)={{:((1+|sinx|)(rho)/(sinx)",",(pi)/(6)ltx lt0),(q,", "x=0),(e^((sin2x)/(sin3x)),", "0lt x lt(pi)/(6)):}` is continous at `x=0` is

Options

A. `p=(1)/(3) ,q=e^(2//3)`
B. `p=0,q=e^(2//3)`
C. `p=(2)/(3),q=e^(2//3)`
D. `p=-(2)/(3),q=e^(2//3)`

Answer

D