Question

use L'Hospital Rule. lim x->0+ (tan5x)^x

Answer 1

What do you need to use Mr. L'hops?

Answer 2

\[(\tan 5x)^x = e^{\ln (\tan 5x)^x} = e^{x \ln(\tan 5x)}\]
now apply the limit as x->0

Answer 3

would the limit be 1?

Answer 4

Thank you so much.

Answer 5

yw
yes lim = 1

Answer 6

but that's not using l'hopital?

Answer 7

is it required to use L'Hopitals rule?

Answer 8

no, if a more elementary way can be used than...

Answer 9

it said so

Answer 10

yes

Answer 11

so, since we have to use L'hops, what do we need to use it?