How to find horizontal asymptotes of log functions? (1 Viewer)

[enigma_1]

Eg if I have a function y=(log x)/x

How do I find the horizontal asymptotes? And then how do I find the limits like where the graph goes?

 

[enigma_1]

buump

 

[Shadowdude]

Eg if I have a function y=(log x)/x

How do I find the horizontal asymptotes? And then how do I find the limits like where the graph goes?

Mathematics 2 unit method: plug in a really really big number and that'll be it


Alternatively, you can note that x > ln(x) for all x > 0, so you'll see that ln(x)/x < 1 for all x > 0, and then see that the limit is zero.

 

[enigma_1]

Cool thanks! What about the 3 unit method?

 

[Shadowdude]

Uhh, probably the same.

I think maybe 4u has the oblique asymptotes only.