## anonymous 5 years ago Is the limit of ln x as x approaches to infiniti 1?

1. anonymous

$\lim_{x \rightarrow \infty} \ln x / x = (1/x)/1 = 1/x$ $1/\infty = 0$ I used L'Hopital's rule

2. anonymous

Oh I just meant ln x not lnx/x. Thanks though

3. anonymous

oh if u went ln x then it is unbounded and will be infinity

4. anonymous

Attached is a plot of Log[x], "Ln[x]", from x = 0 through x=10^100

5. anonymous

a plot of 0 to 10^100 does not always demonstrate end behavior, inthis case it does....but not always

6. anonymous

Just offered as a "it seems to be the case...".