Goten77
  • Goten77
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?
Mathematics
katieb
  • katieb
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shubhamsrg
  • shubhamsrg
lim x->inf for all sinx cosx and tanx are undefined..
shubhamsrg
  • shubhamsrg
why you say it'll be 0 or 1 ? o.O
Goten77
  • Goten77
because thats what occurs most ina period... those are true fax

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shubhamsrg
  • shubhamsrg
ofcorse not..
shubhamsrg
  • shubhamsrg
i meant to @Goten77
shubhamsrg
  • shubhamsrg
so you are saying that sin(infinity)= 0 ? would that mean, according to you, sin(infinity + pi/2) =1 ?
Goten77
  • 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
agent0smith
  • agent0smith
Look at a graph of sinx, cosx, or tanx, as x gets larger... what happens to the graph?
Goten77
  • Goten77
man i wish shub was here so he could put in on this...
agent0smith
  • 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?
Kainui
  • 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.
Goten77
  • Goten77
its something like .. the limit doesnt exist... but it is assumed it would = 0 for sinx and assumed 1 on cosx
Kainui
  • Kainui
No it isn't, never, you're flat out wrong.
Goten77
  • Goten77
its what my high school teacher and college professor said...
Kainui
  • Kainui
Your high school teacher and college professors are wrong or you misheard them.
Goten77
  • Goten77
well if u had to guess a number... what would u guess?
Goten77
  • Goten77
it was something like probability led the solution to kinda* exist
Kainui
  • 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.
Goten77
  • Goten77
thats true... but 0 occurs .... tbh i cant explain it like they did
Kainui
  • Kainui
The only time you might have a limit with sine or cosine converging towards something might be something like: \[\lim_{x \rightarrow \infty }\frac{ sinx }{ x }=0\]
agent0smith
  • agent0smith
^ it's probably something like what kainui posted. Damped oscillation.
Goten77
  • Goten77
XD this question always gets every1 involved

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