anonymous
  • anonymous
tan (infinity) =?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
tan(x) does not tend to a limit as x tends to infinity. tan is periodic remember? |dw:1346458442949:dw|
anonymous
  • anonymous
because the answer says pi/2, but i don't get why that is
anonymous
  • anonymous
i think you mean inverse tan

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anonymous
  • anonymous
or tan^-1
anonymous
  • anonymous
or arctan
anonymous
  • anonymous
all names for the same thing
anonymous
  • anonymous
yes sorry thats what i had meant, could you please explain
helder_edwin
  • helder_edwin
http://www.wolframalpha.com/input/?i=graph+arctan+x
helder_edwin
  • helder_edwin
these graphs might help
helder_edwin
  • helder_edwin
the idea is \[ \large \lim_{x\to\pi/2}\tan x=+\infty \] \[ \large \lim_{x\to-\pi/2}\tan x=-\infty \] then \[ \large \lim_{x\to+\infty}\arctan x=\frac{\pi}{2} \] \[ \large \lim_{x\to-\infty}\arctan x=-\frac{\pi}{2} \]

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