# What happens if you try to use l'hospital's rule to find the limit? lim x → ∞ x / x^{2} + 5.

We will use the concept of limit in order to find the required limit.

## Answer: By the l'hospital's rule the required limit is 0.

Let us see how we will use the concept of limit in order to find the required limit.

**Explanation:**

The limit that has been given to us is lim x → ∞ x / x^{2} + 5

The concept of l'hospital says that differentiate the numerator and denominator with respect to the variable if we have a limit of the form 0 / 0 or ∞ / ∞ .

On differentiating we get that

lim x → ∞ 1 / 2x

Now, if we substitute x → ∞in the denominator and since the numerator has 1,so denominator >>>>>1, therefore 1 / ∞ = 0.