Question

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it.

lim
x → 0
(x 6^x)/(6^x − 1)

Answer 1

did you apply LHopit's rule ?

could u differentiate numerator and denominator separately?

Answer 2

dont really know what to do here if i take the derivative it still leaves a 0 on the bottom

Answer 3

and if i rationalize i sill get 0 on the bottom

Answer 4

whats the derivative of 6^x ?

Answer 5

the denominator will not be 0 after you differentiate it once.

Answer 6

x6^x-1

Answer 7

ok, thats your error....