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)

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)

hartnn · Answer

did you apply LHopit's rule ?

could u differentiate numerator and denominator separately?

anonymous · Answer

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

anonymous · Answer

and if i rationalize i sill get 0 on the bottom

hartnn · Answer

whats the derivative of 6^x ?

hartnn · Answer

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

anonymous · Answer

x6^x-1

hartnn · Answer

ok, thats your error....
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