# Question #e45e9

##### 1 Answer

Jun 18, 2017

The limit equals approximately

#### Explanation:

Here's a table of values

As you can see, the closer the number gets to

If we check our work using l'hospitals rule, we get:

#L = lim_(x->0) (7^xln(7) - 3^xln(3))/1#

#L = ln(7) - ln(3)#

#L ~~ 0.85#

So our estimation using the table was quite precise.

Hopefully this helps!