Hi people.

I am faced with the following limit:

$$

lim_{k \rightarrow \infty} \left( \sum_{j=2}^k \frac{{k+a-j-1 \choose {k-j}}}{B(j+b,c)} \right)

$$

where a \in N, (b,c) \in R^2 constants, and B(j+b,c) the standard beta function. Of course the choose function can be expressed as a beta as well.

Can anybody help?

Thanks in advance.