Show that f(z)=[sin(PI/z)]/(z+2) is nowhere analytic for |z|<a , where a is a some positive number. Can you help me to solve this problem?

Show that f(z)=[sin(PI/z)]/(z+2) is nowhere analytic for |z|<a , where a is a some positive number. Can you help me to solve this problem?

Evaluate Z ∫C(z^2 - z)/(2z + 1) dz where C is: (i) the unit circle in the counterclockwise direction; (ii) the circle |z − 2| = 1 in the counterclockwise direction. Do I use...

Create a formula then find the temp of the pie after 120 minuites

If upgrading a building from level 1 to 2 takes 150 seconds, but after a boost of 36% the time is reduced to 109 seconds.What formula was used here? Thanks

Given that f(x) is a cubic function with zeros at −6 and −2i+4 , find an equation for f(x) given that f(−7)=−6. I keep getting (x^3+6x^2+8x+48)/(9...

Write the following in the polar form reiθ, -pie<0≤pie a)πi r= θ= b)-2√2- 5i r= θ= c) (1-i)(-√(3)+i)) r= θ= d)(√(2)-5i))2 r= θ= e)(-5+√(2i))/(5+3i) r= θ= f)...

Hi, I help solving this with steps : (4/x) + (4/y) / (16/x^2y^2)

I am doing complex analysis. I am stuck on integrating sin^2(4x), from 0 to 2pi. I have to show the integration in exponential form.

The Number System is built in stages to facilitate the four basic operations. It is extended to complex numbers to facilitate the computation of square roots of negative real numbers. All you need...

This is for my math analysis class, and I can't quite figure out how to do it!