# Question #92145

##### 2 Answers

See below.

#### Explanation:

You can't [correction tx to @jimh, see other answer] **can** use L'Hopital here, [but you do not need it].

This is based upon Bernoulli's Interest Compounding equation which is where

His formula was:

So we take yours:

and we say, let

*Facepalm*

If we rewrite it, we can use l'Hospital.

#### Explanation:

Because the exponential function is continuous,

So let's focus on the exponent

So we'll rewrite it as

Apply l'Hospital, to get the limit of the exponent is

Therefore, the limit of the original expression is

**More generally**

For

If the initial form of the limit is

Whose limit has form

Now we can try using l'Hospital's rule to find the limit of the logarithm of