# How do you evaluate # [ (1/x) - (1/(x^(2)+x) ) ]# as x approaches 0?

##### 2 Answers

#### Explanation:

Find

First, let's try and see if we can solve by just plugging in

Now we have to find a way to combine the fractions so the outcome isn't

Factor out an

This step is not necessary but makes it easier to find the LCD in order to combine the fractions

Now multiply the first fraction by

Combine the fractions

Now let's try to plug in

Since the result was

Now let's use L'Hospital's Rule

Now let's try to plug in

#### Explanation:

Have a look at this **Solution** that **doesn't uses L'Hospital's Rule :**

**Enjoy Maths.!**