My professor tried to explain Taylor Polynomials and I'm having trouble with notation...

He gives us the following exercise...

Let $\displaystyle f(x)=\frac{1}{1-x}$. Let $\displaystyle x_0=0$.

1) Obtain an expression for $\displaystyle R_{1}f$.

2) Find the value of $\displaystyle c$ when $\displaystyle x=3/4$.

He tells us that $\displaystyle f(x)=T_{n}f(x)+R_{n}f(x)$ where $\displaystyle R_{n}f(x)=\frac{f^{n+1}(c)}{(n+1)!}(x-x_0)^{n+1}$ for some $\displaystyle c$ between $\displaystyle x_0$ and $\displaystyle x$.

I feel like this should be very simple but he didn't do any examples in class so the notation is confusing me. Any help would be appreciated.