## Goten77 2 years ago kinda silly but lim y=sin(x) x-> infinity this would be 0 since that occurs most in a given period and lim y=cos(x) x->inifity is 1 because that occurs most ina period... but what would be limit y=tan(x) x-> infinity ??? would it be undefined because you can take each individual limit and get 1/0= undefined?

1. shubhamsrg

lim x->inf for all sinx cosx and tanx are undefined..

2. shubhamsrg

why you say it'll be 0 or 1 ? o.O

3. Goten77

because thats what occurs most ina period... those are true fax

4. shubhamsrg

ofcorse not..

5. shubhamsrg

i meant to @Goten77

6. shubhamsrg

so you are saying that sin(infinity)= 0 ? would that mean, according to you, sin(infinity + pi/2) =1 ?

7. Goten77

no shub because like with any limits if i had like 1/(x+1) the limit as x-> infiity is not really impacted by the +1 so in ur example the pi/2 doenst really effect infiity

8. agent0smith

Look at a graph of sinx, cosx, or tanx, as x gets larger... what happens to the graph?

9. Goten77

man i wish shub was here so he could put in on this...

10. agent0smith

Or look at this animation of simple harmonic motion (makes a sinusoidal wave): http://upload.wikimedia.org/wikipedia/commons/7/74/Simple_harmonic_motion_animation.gif No matter how long you watch that, is the amplitude ever going to change?

11. Kainui

There is no limit as x goes to infinity of sinx or cosx, this is a fact. They are constantly oscillating between -1 and 1, so you can't say for certain that it becomes anything at infinity.

12. Goten77

its something like .. the limit doesnt exist... but it is assumed it would = 0 for sinx and assumed 1 on cosx

13. Kainui

No it isn't, never, you're flat out wrong.

14. Goten77

its what my high school teacher and college professor said...

15. Kainui

Your high school teacher and college professors are wrong or you misheard them.

16. Goten77

well if u had to guess a number... what would u guess?

17. Goten77

it was something like probability led the solution to kinda* exist

18. Kainui

There's no guessing involved, as you increase to infinity sine and cosine functions do not converge towards anything. They will keep going between -1 and +1 forever.

19. Goten77

thats true... but 0 occurs .... tbh i cant explain it like they did

20. Kainui

The only time you might have a limit with sine or cosine converging towards something might be something like: $\lim_{x \rightarrow \infty }\frac{ sinx }{ x }=0$

21. agent0smith

^ it's probably something like what kainui posted. Damped oscillation.

22. Goten77

XD this question always gets every1 involved