Prove that you're not full of shit Veeky Forums

prove that you're not full of shit Veeky Forums
show me what all that rote learning did for you in calculus class

I fucked up

Period is [math]\frac{\tau}{2} [/math] because
[math]h \left( x+\frac{\tau}{2} \right) = h(x) [/math]

Ain't it [math]pi[/math]?
Because the denominator ain't squared

prove it's periodic dumbfucks

It's [math]\sqrt{6\,\zeta\left(2\right)}[/math]-periodic.

This has nothing to do with calculus

>calculus
HAHAHA

what the fuck does calculus have to do with this brainlet tier shit

idgaf prove it you wasters. babby too scared he asked a question outside his comfort zone?

It's your homework you fucking calculus brainlet.
I'm dealing with Sobolev spaces right now, the REAL math.

First post best post

>"example"
>homework
lmao did you fail english at school?

Nobody is going to do your homework for you, OP. Either you do the homework, or you're not cut out for this, because there will be things a lot worse.

To prove it's periodic, you only need to show that f (x) = f (kx +c), which he did.

it didn't answer question

>show
no he didn't, he stated it. The proof isn't trivial.

it's literally half a line worth of paper

>the proof isn't trivial
Please pass Algebra 1 before posting on this board

Tell me what the definition of periodic is.
The normal definition is that f (x) =(kx+c) for k,c belonging to the reals.

So to prove a function is periodic, you only need to find the set of k,c satisfying the condition.

>Calculus brainlet isn't creative
[math]Example. *Enter homework exercise*[/math]

I overestimated your intelligence. Now kys or quit your study, because you can't handle this simple example.

>f (x) =(kx+c)
show that this is true. You can't state this without a proof even for this term alone. The term isn't squared dumbass, the angle is. Prove that it's periodic, then prove the entire function is periodic, then find the period.

>can't handle simple proof
>DUDE IT'S YOUR HOMEWORK LMAO
if it was my homework and you already proved it I'd just write down your "proof" and ask what the period is dumbass

[math]h(x+k)=\frac{\sin(2x+\pi/3)^2+5}{2-\sin(2x-\pi/3)}=\frac{\sin(2(x+k)+\pi/3)^2+5}{2-\sin(2(x+k)-\pi/3)}=\frac{\sin(2x+2k+\pi/3)^2+5}{2-\sin(2x+2k-\pi/3)}\,;[/math]

[math]k=\pi[/math] since [math]\sin[/math] has a period of [math]2\pi[/math]

WRONG
prove it's periodic before looking for the period. Then get the period correctly.

>t. calculus brainlet
I'm not wasting my time on doing your homework. I prefer making U FRUSTRATED

lol brb 3 hours hopefully you can figure it out by then

>1+1=2
>WRONG. OMFG PROVE IT

Quit with whatever you are studying

>OP can't even do his homework
>asks Veeky Forums to do his homework
>Veeky Forums tells him to do his homework
>WHATS THE MATTER CAN"T YOU RETARDS HANDLE A SIMPLE PROOF??

Hello, that guy who thinks [math]x\,\longmapsto\, 1\,-\,\delta_{x,\,0}[/math] is continuous and who made a b8 thread about the non-discovery of the tranny gene.

yes, I do see the text saying example
this has changed my mind, since it is surely impossible for someone to change the text "homework" to "example" (and in any case if they did that would be lying on the internet!)

Hope you disenrolled from your study by then.

ok ok let me give you a hint:
1. prove sin(x^2) is periodic
2. prove pic related is periodic 3. prove the function is periodic
you assumed 1 is correct, then you assumed 2 is correct. Try proving them and you might find out something interesting.