arctan(x) is an increasing function (Proof) (ILIEKMATHPHYSICS)

Описание к видео arctan(x) is an increasing function (Proof) (ILIEKMATHPHYSICS)

This video is part of the “Real Analysis” series I am making.

Thanks and enjoy the video!

Real Analysis Playlist:    • Real Analysis [ILIEKMATHPHYSICS]  

Prove that 2^n rn converges video:    • Prove that lim(2^n xn) converges wher...  
Prove if r ﹥ 0 then arctan(r) ﹥ 0, and if r ﹤ 0 then arctan(r) ﹤ 0 video (corollary of the result proven in this video, shown at the end):    • If x ﹥ 0, then x/sqrt(1+x^2) ﹤ arctan...  
Prove that arctan is an odd function video:    • Prove that arctan is an odd function,...  
Prove the arctan sum formula for st ﹤ 1 video:    • If xy ﹤ 1, then arctan(x) + arctan(y)...  

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