Check out my new book on sequences and series!
You can read it on your Kindle, iPad, or Android device. It's got tons of problems with complete solutions, perfect for learning or studying for a test!
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Calculus Sequences and Series:
Problems and Solutions
Having trouble with limits? I just published my second Kindle book, Calculus Limits: Problems and Solutions on Amazon.com. Here are some topics the book covers:
- the definition of a limit,
- limits involving infinity,
- asymptotes of functions
- the limit laws,
- tricks for easily calculating tough limits,
- continuity of functions,
- l’Hopital’s rule, and
- the formal (epsilon–delta) definition of a limit.
This book is great if you’re taking a calculus class, or if your precalculus class does limits. It contains over 50 problems completely worked out with explanations, along with all the definitions and rules you need to know to understand limits without even reading your calculus book. Lots of pictures, too.
The heart of the book is an explanation of lots of various tricks used to solve tough limits. These usually don’t appear in one place all together, but knowing them will really help you out. Here are some examples of the tougher problems included in the book:
Problem 21 Find
![\[ \lim_{z\rightarrow \infty}\frac{\sqrt{2+2z^2}}{2+z}. \]](http://thecalculusblog.com/wp-content/ql-cache/quicklatex.com-6bf651cb4c8b4831a628ecb0723960c9_l3.png "Rendered by QuickLaTeX.com")
Problem 27 What is
![\[ \lim_{x\rightarrow \infty} x-\sqrt{x^2+x}? \]](http://thecalculusblog.com/wp-content/ql-cache/quicklatex.com-9e7f7555c0379eceafb9fd9540f05478_l3.png "Rendered by QuickLaTeX.com")
and
Problem 31 Evaluate
![\[ \lim_{x\rightarrow 0}\frac{1-\cos x}{x^2}. \]](http://thecalculusblog.com/wp-content/ql-cache/quicklatex.com-8d667170b18f15775618ab56ee82e7d2_l3.png "Rendered by QuickLaTeX.com")
Of course, there are also more basic (and more advanced!) problems covered as well.
Pick up the book here: Calculus Limits: Problems and Solutions. If you like it, please leave a review!