Posted by Reen on Sunday, October 18, 2009 at 9:48am.
limit as x approaches infinity; tan^(1) (x^2  x^4)
any help is appreciated =D

calculus  limits  Reiny, Sunday, October 18, 2009 at 10:34am
I am going to use an intuitive approach
let theta = tan^1 (x^2  x^4)
or tan(theta) = x^2  x^4
now as x> ∞ the right side of the above equation >  ∞
I know that tan 90º or tan(pi/2) is undefined, but as I approach 90º or pi/2
the tangent value becomes infinitely large positively,
and the tangent of 90º or pi/2 becomes infinitely large.
so
limit tan^(1) (x^2  x^4) as x > ∞
= pi/2
check:
set your calculator to radians
enter a huge number, multiply it by 1, then enter
2nd Tan
I got 1.570796 or  pi/2
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