Why n/3* = 0 where n tends to infinity??? * = n?

Question

Why n/3* = 0 where n tends to infinity??? * = n?

Answer 1

x/3^x approaches ? when x approach infinity

Here

lim x->inf x/3^x = inf/inf which is undefine

so use L'Hospital rule

when x ->inf, lim of f(x)/g(x) = lim f'(x)/g'(x) = 1/ x3^(x-1)

= 1/inf = 0