# How do you determine the limit of #(x+5)/(x-2)# as x approaches 2+?

##### 1 Answer

The limit tends to

#### Explanation:

We have to solve

Directly inputting will not work, as the denominator will give

So we make **get closer and closer** to

For example, we take

For

For

And so on.

We see a pattern. **The closer we get to #x=2#, the value of the limit increases dramatically.**

This is because **the division of a number by an extremely small one gives us an extremely large answer.**

Therefore, we can say:

However, the questions asks us to get to two from values larger than it, as shown in the examples. This gives us a positive denominator and numerator, showing us that, when

So we say