(b) Show that its quadratic Taylor polynomial at x = y = 0 is harmonic. (c) What about its degree 3 Taylor polynomial? (d) Can you state a general theorem? (e) Test your result by looking at the...

(b) Show that its quadratic Taylor polynomial at x = y = 0 is harmonic.


(c) What about its degree 3 Taylor polynomial?


(d) Can you state a general theorem?


(e) Test your result by looking at the Taylor polynomials of the harmonic function log[x – l)2 + y2].