Let denote the Gamma Euler function. Evaluate the limit

**Solution**

We might begin by the well known formula

(1)

Hence

We multiply by . We do the same to the other term and then we substract. The result is .

A site of university mathematics

Home » Uncategorized » A limit with Gamma

Let denote the Gamma Euler function. Evaluate the limit

**Solution**

(1)

Hence

We multiply by . We do the same to the other term and then we substract. The result is .

An interesting result that comes up from the above problem is the following limit: