# Thread: Limit of sum of factorials/beta functions

1. ## Limit of sum of factorials/beta functions

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?
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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.