families of level curves 1. Sketch the families of level curves of u and v for the following func-tions J […]
Tag: Analytic Functions
Show that the following functions are harmonic, and find harmonic conjugates:
Harmonic Functions 1. Show that the following functions are harmonic, and find harmonicconjugates:(a) x2 – y2 (c) sinhxsiny (e) tan-ley/x), […]
Define Xo = 0, and define by induction Xn+l = x; + ~ for n~ O. Show that Xn –+ ~. Hint. Show that the sequence is bounded and monotone, and that any limit satisfies x = x2 + ~.
1. Establish the following:(a) lim _n_ = 1n-oo n+ 1(b) lim –;- = 0n-oo n + 1() 1· 2nP + […]
