kawaiipotato
Well-Known Member
- Joined
- Apr 28, 2015
- Messages
- 463
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- HSC
- 2015
That error carried through to your working in subsequent lines. If you start again from the IBP part, you should get to the correct answer.oops fixed
Requires use of the exponential integral according to WolframAlpha, unlikely to come up in the HSC...BUMP
This question is based on your ability to approximate sums by integrals, hence its location in this marathon thread.
Prove that there exist positive constantssuch that
for all positive integers
(In fact, the ratio in this question tends to an exact constant, but proving this convergence without guidance is perhaps a bit much to ask. It is a reasonable enough followup exercise though to calculate this exact constant, given that the ratio does in fact converge.)
nice solution, I had this in mind:
Nifty. I never knew such a property existed. I suppose it's easy to verify it because just taking log of both sides yields log(x)log(y)=log(y)log(x)nice solution, I had this in mind:
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Show that it what? You forgot the RHS.
I dunno, i can't seem to do it lol.
Are x and y dependent variables?
I dunno, i can't seem to do it lol.
Nope.Are x and y dependent variables?
Ah yeah, that works thx.Just use trig. sub. then.