Heat Equation problem 001

Question

$\frac{\partial V}{\partial t}=k\frac{\partial^2 V}{\partial x^2}$ and $V=V_0sin(nt)$ for $x=0$ and $V=0$ when $x$ is a very large number, what's the solution of the equation? Here none of the standard solution of the heat Equation is working,cause the time is given in a periodic function,in the solutions time is always in exponential form like $e^(-c^2p^2t)$,that's where I'm stuck