# Mistakes of infinity

One of my question has been reported by someone & i can't respond to it because it shows some problem is there.

I want to share my answer here, The question was to find 2S where S=1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+1-1+......... My answer was 2S=1. For more you can see grandi series.

Note by Vijayant Patel
1 year, 5 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

So what is the correct question?

- 1 year, 5 months ago

Find the Cesaro sum of $$1-1+1-1+1-1+\cdots$$.

- 1 year, 5 months ago

Ok

- 1 year, 5 months ago

What is meaning that the series will diverge?

- 1 year, 5 months ago

The partial sum of the series does not converge to any fixed number.

- 1 year, 5 months ago

You need to specify that you're using Cesaro sum, otherwise, the series diverge.

- 1 year, 5 months ago