Lim[x]/x as x approaches 0+

The answer is supposed to be 0, but I have no idea how they got it.
Thanks!

By [x], I assume you mean the greatest integer <= x. In that case:

[x] / x = 0 for arbitrarily small x getting very close to 0. (Because [x] = 0 for 0<=x<1)

Therefore, the limit is 0!

To find the lim (x/x) as x approaches 0... first simplify it ... it is limit of 1 as x approaches 0

and the limit of a constant is the constant... then the limit is 1. OK!

if limx/x is zero, use logarithmic differentiation to solve