- Thread starter
- #1

- Jan 17, 2013

- 1,667

\(\displaystyle \lim \text{sup } s_n = \text{sup } E\)

For some reason I don't quite understand the above formula , do we need to prove it ? It would be nice if you give some examples.

- Thread starter ZaidAlyafey
- Start date

- Thread starter
- #1

- Jan 17, 2013

- 1,667

\(\displaystyle \lim \text{sup } s_n = \text{sup } E\)

For some reason I don't quite understand the above formula , do we need to prove it ? It would be nice if you give some examples.

We really don't prove a definition. There are many equivalent ways to define lim sup.

\(\displaystyle \lim \text{sup } s_n = \text{sup } E\)For some reason I don't quite understand the above formula , do we need to prove it ? It would be nice if you give some examples.

But there is no point in reinventing the wheel. Have a look at this page.

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