# How do you find #lim (x^2+4)/(x^2-4)# as #x->2^+#?

##### 2 Answers

One method is to evaluate at values closer and closer to 2.

#### Explanation:

f(2.1) = 20.5

f(2.05) = 40.5

f(2.01) = 200.5

f(2.0001) = 20000.5

So we can see it approaches infinity.

Another method is by graphing. As you can see, the limit approaches infinity.

graph{(x^2+4)/(x^2-4) [-5.74, 12.04, -1.71, 7.18]}

As we can see as x approaches two from the positive direction, the y value seems to go up indefinitely.

Please see below.

#### Explanation:

As

This form

To see which is happening as

For

Something close to

**Note** it takes a lot longer to explain than it does to do!