# More limit rules

# More properties of limits

# Properties of limits and sequences

Here I list some properties of limits and sequences. I may add more when I feel like I’m missing an important one somewhere.

# Elementary limit rules

It’s time to prove some limit rules. Most notably the limits of the sum, product and division of two converging sequences. Once again, recall the definition of a limit.

# Divergent sequences

What can we say about sequences that do not have a real limit.

# The triangle inequality for real numbers

The triangle inequality is useful when proving limits. Here I prove it.

# Limits of sequences

I have been thinking for a while about making notes and putting them online for reference. I feel like writing some for a course in real analysis I took some time ago. We used the book “Elementary Analysis: The theory of calculus” by Kenneth A. Ross (ISBN-13: 000-1461462703), which I though was great. Let’s start with defining sequences and limits of sequences.

# Boy…

I sure hope that mathjax plugin works.

\( \int\limits_{-\infty}^{\infty} e^{-x^2}dx = \sqrt{\pi}\)

# There, I have a blog now.

I have enabled comments. I wonder if some robot will send me spam!

If you’re not a robot, you must be lost. :)