Question

Evaluate lim u-> infinity (tan^-1 u)

Answer 1

that would be
\[\frac{\pi}{2}\]

Answer 2

\[\lim_{u \rightarrow \infty}( \tan ^{-1}u)\]

Answer 3

can u plz show some work

Answer 4

im not sure how 2 approach it

Answer 5

i am not sure what "work" there is. range of arctangent is
\[(-\frac{\pi}{2},\frac{\pi}{2})\] because that is what you restrict the domain of tangent to make it one to one

Answer 6

as
\[\lim_{x\rightarrow \frac{\pi}{2}^-} \tan(x)=\infty\] then
you get your limit

Answer 7

so teh answer is pi/2 to the left side

Answer 8

your best bet is to look at the graph (not my crappy picture) of
\[y=\tan(x)\] and of
\[y=\tan^{-1}(x)\] and the limit will be clear

Answer 9

http://www.wolframalpha.com/input/?i=y%3Darctangent%28x%29

Answer 10

i see. so how come u wrote pi/2 from te hleft side ...= infinity