Wednesday 26 April 2017

calculus - How to evaluate the following limit? $limlimits_{xtoinfty}xleft(fracpi2-arctan xright).$

How can I evaluate this limit:



$$\lim_{x\to\infty}x\left(\frac\pi2-\arctan x\right).$$



I know that the correct answer is $1$, but why?

-

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...