Example 3.5.  Show that    is nowhere differentiable.

Explore Solution 3.5.

Enter the function f[z].

Find the real and imaginary parts of  f[z].

Determine if the Cauchy-Riemann equations hold.

Hence the Cauchy-Riemann do not hold at any point.

Thus, we have shown that    is not analytic for any value of  z.

(c) 2006 John H. Mathews, Russell W. Howell