Please answer B4
B4. Show that f(z) -sin(1/z) achieves any complex value infinitely many times in...
B4. Show that f(z) -sin(1/z) achieves any complex value infinitely many times in every neighborhood of its essential singularity z 0 B5. Prove that for a fixed w in the unit disk D, that is, lw 1, the fractional linear transformation F(z) = u 12 satisfies the following conditions: (a) F maps the unit disk D to itself and is holomorphic. (b) |F(z)-1 if |zl-1, and |F(z)> 1 if |2l > 1.