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

Question

lim
x → 0
(x 6x)/(6x − 1)

Answer 1

Not sure what (x 6x) means.
x+6x
x*6x
x^(6x)
??

In any case, using l'Hospital's Rule, the derivative of 6x-1 = 6, which does not vanish.