Why arctan(n) goes to pi/2 as n goes infinite? - Physics Forums
Dec 12, 2011 · I posted the picture of this question I am just wondering. Why does arctan(n) as n → ∞ go to ∏/2? How would you show that part more in depth? Also what would arccos(n) and …
Limit of Arctanx: Why Does \\frac{\\pi}{2} Make Sense?
Mar 27, 2009 · The limit of arctan (x) as x approaches infinity is definitively π/2 due to the function's properties as an increasing function, where its derivative (arctan (x))' = 1/ (1+x²) …
Can someone explain to me why the limit as x approaches infinity …
Tan is opposite over adjacent in a right triangle. So if the tangent is large, then the opposite side is much larger than the adjacent side, that is, the angle is close to 90 degrees. In radians, that is …
[University Calculus II] Can someone explain why the limit of …
Apr 14, 2015 · So, if you take the inverse tangent of infinity (which is what your limit does), you should get back pi/2. I think you might be confusing tan (x)'s periodicity with arctan (x)'s lack of …
Taylor expansion of f(x)=arctan(x) at infinity - Physics Forums
Jul 24, 2023 · I have to write taylor expansion of f(x)=arctan(x) around at x=+∞. My first idea was to set z=1/x and in this case z→0 Thus I can expand f(z)= arctan(1/z) near 0 so I obtain 1/z …
Could someone help explain the final answer here to me, the
Feb 15, 2023 · It might help to look at the graph of arctan or even of tan (). You are taking the limit as t -> infinity of arctan (sqrt (t)). If you take the inverse tangent of a large number, you get …
Calculate limit as n approaches infinity of a complicated ... - Reddit
Jun 7, 2019 · Then, the limit of a (n) as n approaches infinity is? Note, that arctg (x) is arctan (x) in english math terms My approach was to calculate the limit using L'Hopital and find the …
[Calculus] Can somebody explain this leap of logic with this
Theorem 4 (as specified in the passage) is simply: lim x-->infinity arctan is pi/2. Edit 1: This seems to be some kind of t-variable solving technique that of course, Stewart doesn't explain in the …
Does the series arctan n converge? - Physics Forums
Mar 1, 2011 · I'm sure it doesn't, but how do I find out? \\sum^{infinity}_{n=1} arctan (n) I thought about using the integral test, but it's not decreasing. Any hints? Could I somehow use proof by …
Is arctan (tan (𝝅/2)) = 𝝅/2 or = undefined ? : r/askmath - Reddit
Apr 20, 2023 · I have a question regarding trigonometric functions that I would appreciate some insight on. Specifically, I am wondering whether arctan (tan (𝝅/2)) is equal to 𝝅/2 or undefined. I …