suppose z=2+3i , w=1-5i
1)make Compare between z,w

2)find z!

3)IzI=sqart root (z^2)
or IzI=sqart root(zz')
IzI=sqart root (z^2)=sqart root(zz')

4) Compare between 1,i

5) i!=????

## The Attempt at a Solution

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Redbelly98
Staff Emeritus
Homework Helper
Where is your attempt at a solution?

Defennder
Homework Helper
suppose z=2+3i , w=1-5i
1)make Compare between z,w
What does this mean?

HallsofIvy
Homework Helper
1. What do you mean by "compare"? Find the difference? Absolute value of difference?

2. Is "!" supposed to be the factorial? It's only defined for positive integers, not complex numbers.

3. If, by ', you mean "complex conjugate", then $|z|= \sqrt{zz'}$ which is NOT the same as $\sqrt{z^2}$ unless z is real.

1. What do you mean by "compare"? Find the difference? Absolute value of difference?

I mean
Z<W OR W<Z

Thank you for assistance

What is the meaning of the fifth question?

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Redbelly98
Staff Emeritus
Homework Helper

5. Suppose f(z) = 3xy + i(x-y^2). Find lim{z -> 3+2i} of f(z), or explain carefully why it does not exist.

I am guessing that z=x+iy. I.e. z=3+2i means x=3 and y=2. However, this makes the question rather easy, just plugging in x=3 and y=2 into the given expression. If they mean something else I don't know what that is.

Redbelly98
Staff Emeritus
Homework Helper
I mean
Z<W OR W<Z
I am unaware of any definition of "less than" or "greater than" concerning complex numbers.

HallsofIvy
Homework Helper
1. What do you mean by "compare"? Find the difference? Absolute value of difference?

I mean
Z<W OR W<Z

Thank you for assistance
Neither. The field of complex numbers is NOT an "ordered field".

Defennder
HallsofIvy
Redbelly98
HallsofIvy

Thank you very much
Thank's alot