# Question #b676d

##### 1 Answer

The answer is:

First of all let's find the domain of the function: the only condition is that the denominator has to be not-zero.

Now let's calculate all the limits:

and this means that

and this means that

because the two infinites are of the same order, so the limit is the ratio of the two coefficients (

and this means that

And this is the graph:

graph{2e^x/(e^x-7) [-14.24, 14.23, -7.11, 7.13]}