Aha! Can do it with le hospital's rule. Friend just figured it out, cuz
g(x) / f(x) = 2/n * 2/ (n-1) ... etc and as x approaches infinite 2/n = 0
0x = 0 so g(x) / f(x) = 0 which means f(x) = og(x)
woo. Annoying question mutter, thanks for help :)
Well I was trying that to remove the recursion problem but it didn't seem to help.
I was just trying different types of math expression to try to show this silly thing is true, reimann product seemed best suited for factorials.
I edited reply btw, but the part where you do
h(x+1) just...
I meant 2^n doesn't have a variable when expressed as a reiman product or whatever.
Well since I couldn't get a non-recursive definition of n! I couldn't do n!/2^n or 2^n/n!
This is for a 200 level class, and I don't really think we're expected to do induction in it (at least not...
Alright problem is pretty simple, I have two functions
f(x) = n!
g(x) = 2^n
Question is to show that g(x) = Of(x) through mathematical expression
that is show the growth rate of g(x) <= that of f(x)
The fact that this is true is fairly obvious, it's bigger for n>3.
Anyway my...
erm didn't think we'd gotten that far, assignment on that section isn't due until monday. No wonder I couldn't find it hehe.
O well I have 2 hrs to learn it I'm good! :)
I am studying for a midterm, was browsing over an old midterm and found this question
\int e^{3x} \cos{(x)}\; dx
Can't figure it out, help would be appreciated
ahaha right answer wrong units, duh :(
Hmm I'm working on the second part atm, my thoughts are that now that I have the frequency I also have the period so all I have to do is find the Amplitude at t=0 then find the amplitude at t=T then divide them to find the % difference between the two...
Okie, doing homework for physics and I'm stuck. The section is on damped oscillations, question is as follows:
A 10.6 kg object oscillates at end of a vertical spring that has a spring constant of 2.05 * 10^4 N/m. The effect of air resistance is represented by the damping coefficient b=3.00...
Alright, heading says it all. This is a nice problem heh.. I can see how to prove sqrt(5) is irrational. I think this method works up to the points where the fact 5 is a prime is used, (ie prime lemma) on 5 which doesn't work so well on 6! hehe
Was thinking of maybe using product of primes...
I know the idea behind doing a proof heh, I think my textbook is somewhat lacking though. What definitions shoudl I be attempting to make use of. Only info I've found on powersets in textbook is what the powerset actually is (the set containing all the subsets). Cant think of any helpful way to...
P for powerset, n for intersection
show that P(AnB)=P(A) n P(B)
Studying for a midterm, seen this question in our textbook and on an old midterm. No idea how to do it. Anyone know?
Question: A race car starts from rest on a circular track. The car increases its speed at a constant rate at as it goes once around the track. Find the angle that the total acceleration of the car makes-with the radius connecting the center of the track and the car-at the moment the car...