Thread: Relative Rates of Growth

Order the function from slowest-growing to fastest growing as x--> infinity. Show your work.

x^(6), e^(x), 6^(x), (ln(6))^(x)


I don't know how I would go about comparing 4 functions together.. also i'm having trouble evaluating

e^x to 6^x.. i keep getting an indeterminate form..

Originally Posted by AIYAH

e^x to 6^x.. i keep getting an indeterminate form..

Can't you say as

then as

Originally Posted by pickslides

Can't you say as

then as

Oh yes that is true.. now the next part of the question... hmm.

The next part? I'm not sure exactly what you mean?


then as

ohhh.. i can do that to the other problems too.
i get it now ^.^