Complex Analysis Answers

What is the value of (-√(-1)^ 8n+1+ (-√(-1)^ 8n+3 where n is a natural number?

Let
w=ρ(cosφ+isinφ)
,
z=r(cosθ+isinθ)
and if n is a positive integer, the nth roots of a complex number are by definition the value of w which satisfies the equation

An analytic function is smooth if it is

If z = -4 - 3i , then
|z|
is

limz→∞2z2+45z2+i=

The polar form of the complex number z = x + iy is given by …………….

Find
limz→iz2−iz−i

If z = x +iy is a complex number, then z is said to be ………… if y = 0

the complex conjugate of the complex number z = a + ib is

The congugate of z = -11i is