Order of functions by rate of growth (from slowest to fastest) as $x$ gets very large

Asked Dec 11 '19 at 01:43

Active Dec 11 '19 at 01:52

Viewed 248 times

For the following functions, I ordered them from slowest to fastest as follows:

1st. $100^x$

2nd. $5^x$

3rd. $x^{100}$

4th. $x^6$

5th. $x^5$

6th. $x^5\log_2x$

7th. $\log_2x$

8th. $5$

I got it wrong and received no feedback. Any clues?

Thank you in advance!

edited Dec 11 '19 at 01:52

QC_QAOA

asked Dec 11 '19 at 01:43

Val

Check out numbers $5$ and $6$. – QC_QAOA Dec 11 '19 at 01:48
I should have paid attention! Thank you for pointing it out! – Val Dec 11 '19 at 01:50
Everything else looks good ? – Val Dec 11 '19 at 01:50
What if you differentiate all the functions with respect to $x$? This will give you the exact rate of change. – Nash J. Dec 11 '19 at 01:52
Also, when you say from slowest to fastest, then $5$ (appearing at number 8) should appear above as it is the slowest (not growing at all)! – Nash J. Dec 11 '19 at 01:55
I see that the order is wrong, should be the opposite with 5th and 6th swapped? – Val Dec 11 '19 at 02:34

0 Answers0