The question is:

Let where and , . Prove that Log is not continuous on

Hint: Consider the sequences {-1+i/n} and {-1-i/n}.

I am not sure how I should be using these sequences in the proof.

Please help!

Printable View

- Apr 25th 2013, 04:20 AMCuriosityCabinetProving the complex Log function is not continuous
The question is:

Let where and , . Prove that Log is not continuous on

Hint: Consider the sequences {-1+i/n} and {-1-i/n}.

I am not sure how I should be using these sequences in the proof.

Please help! - Oct 16th 2016, 03:28 AMRebesquesRe: Proving the complex Log function is not continuous
There's something alluring about giving late replies.

Let's see what we have.

-The function

-The point -1, which belongs to the interval

-Two sequences, , which converge to -1.

If the function were continuous at -1, then the limits should be equal.

But...