Question

Evaluate the limit:

Answer 1

http://prntscr.com/38wpw4

Answer 2

know which formula can be useful here ?

Answer 3

hint : \(\Large 9^t-4^t = (9^t-1)-(4^t-1) \)
then separate the denominator.

Answer 4

Use L'Hopitals Rule to show that the limit is
\[
\ln(9)-\ln(4)

\]

Answer 5

Thanks guys!

Answer 6

YW