Question

Question #e45e9

Answer 1

The limit equals approximately `0.85`

Explanation:

Here's a table of values

As you can see, the closer the number gets to `0`, the less the y-variable, that's to say the output, varies.

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!