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# Finding an upper bound for function over square contour watch

1. The function is

and the questions is "by finding a suitable upper bound for |f(z)| on Where is the square with vertices at the points show that as .

My attempt:
I said that if z is on the square then as
I then expressed in exponential form with z = x+iy and x=(N+1/2) to find the upper bound when z is on one of the vertical sides. I got .

so on the vertical sides of the square.

Am I doing this right?
2. (Original post by Muffin.)
The function is

and the questions is "by finding a suitable upper bound for |f(z)| on Where is the square with vertices at the points show that as .

My attempt:
I said that if z is on the square then as
I then expressed in exponential form with z = x+iy and x=(N+1/2) to find the upper bound when z is on one of the vertical sides. I got .

so on the vertical sides of the square.

Am I doing this right?

I think you need to somehow involve in when you are estimating ? s.t. when , you will have

btw did you learn latex in your free time or does your university teaches you?
3. (Original post by WKH)
I think you need to somehow involve in when you are estimating ? s.t. when , you will have

btw did you learn latex in your free time or does your university teaches you?
Thanks for that :-)
And yep I used the TSR wiki on LaTex lol
4. (Original post by Muffin.)
Thanks for that :-)
And yep I used the TSR wiki on LaTex lol
How do you get on with it?

I think if you consider is on the edge of the square then you can estimate

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