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Goten77

  • 3 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?

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  1. shubhamsrg
    • 3 years ago
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    lim x->inf for all sinx cosx and tanx are undefined..

  2. shubhamsrg
    • 3 years ago
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    why you say it'll be 0 or 1 ? o.O

  3. Goten77
    • 3 years ago
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    because thats what occurs most ina period... those are true fax

  4. shubhamsrg
    • 3 years ago
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    ofcorse not..

  5. shubhamsrg
    • 3 years ago
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    i meant to @Goten77

  6. shubhamsrg
    • 3 years ago
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    so you are saying that sin(infinity)= 0 ? would that mean, according to you, sin(infinity + pi/2) =1 ?

  7. Goten77
    • 3 years ago
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    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
    • 3 years ago
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    Look at a graph of sinx, cosx, or tanx, as x gets larger... what happens to the graph?

  9. Goten77
    • 3 years ago
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    man i wish shub was here so he could put in on this...

  10. agent0smith
    • 3 years ago
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    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
    • 3 years ago
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    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
    • 3 years ago
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    its something like .. the limit doesnt exist... but it is assumed it would = 0 for sinx and assumed 1 on cosx

  13. Kainui
    • 3 years ago
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    No it isn't, never, you're flat out wrong.

  14. Goten77
    • 3 years ago
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    its what my high school teacher and college professor said...

  15. Kainui
    • 3 years ago
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    Your high school teacher and college professors are wrong or you misheard them.

  16. Goten77
    • 3 years ago
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    well if u had to guess a number... what would u guess?

  17. Goten77
    • 3 years ago
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    it was something like probability led the solution to kinda* exist

  18. Kainui
    • 3 years ago
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    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
    • 3 years ago
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    thats true... but 0 occurs .... tbh i cant explain it like they did

  20. Kainui
    • 3 years ago
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    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
    • 3 years ago
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    ^ it's probably something like what kainui posted. Damped oscillation.

  22. Goten77
    • 3 years ago
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    XD this question always gets every1 involved

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