The following question is from my algebraic topology exam which I was unable to solve.

> 
> Let $X$ be a orientable connected closed $n$-manifold. Let $ p \in X$. Show that $H^n (X-{p},R)=0$, where $R$ is some ring. 
> 
> 
> 

I observed that since $X$ is orientable so $X-p$ is also orientable hence $H\_n(X-p,R) \cong R$. I think that Poincare duality may help us to prove this result but I am unable to prove it. Any ideas?