Question

use substitution to evaluate the limit

limit [(1/h)/( ln (1+1/h))] as h goes to infinity

Answer 1

\[\lim_{h \rightarrow \infty} \frac{\frac{1}{h}}{1 + \frac{1}{h}}\]

Answer 2

what

Answer 3

Just formatting the question to make sure it's the one you're asking

Answer 4

its 1/h / ln1+ 1/h

you missed the ln (natural log)

Answer 5

L'Hopital

Answer 6

havent learned lhosp..

Answer 7

\[\lim_{h \rightarrow \infty} \frac{\frac{1}{h}}{\ln(1 + \frac{1}{h})}\]right?

Answer 8

\[\lim_{h \rightarrow \infty} \frac{\frac{1}{h}}{\ln(1 + \frac{1}{h})}\]let \(t=\frac1h\)
then as \(h\to\infty\) we have that \(t\to0\) so we get\[\lim_{h \rightarrow \infty} \frac{\frac{1}{h}}{\ln(1 + \frac{1}{h})}=\lim_{t\to0}\frac t{\ln(1+t)}\]hm... how to do this without l'hospital...

Answer 9

thats my problem lol

Answer 10

wasnt sure if to problem the h from the 1/h down..