This is a quick tour of the site so you can get a feel for some of the features. -- Eric Hsu
ladder
will produce a few classic ladder problems squeeze theorem limit
will produce problem pages which mention “squeeze” AND “theorem” AND “limit”. "squeeze theorem"
will produce pages with that literal phrase (and thus miss the problems tagged squeeze-theorem
) \\sec \\int rote
will find problem pages with the latex for secant, integral and the word rote
. Notice the double \\
is necessary to find a single backslash. (rocket|ladder|plane)
will find pages with “rocket” OR “ladder” OR “plane”.Tags:.*c2
finds pages with a line with “Tags” followed by anything followed by “c2”, i.e. a problem tagged c2.(rocket|ladder|plane) Tags:.*c2
This will find pages that match the first OR search AND the second Tag search.fly\b
, and that will require a word stop at the end of “fly”.View Cart
link on the bottom menu to look at your saved items.all pieces as one HTML page
all the BibTeX pieces as a single BibTeX file.
all the LaTeX pieces as a single LaTeX file, either as separate pages or a single enumerated list.
Log in. (Login link is at the bottom right.) Be sure you put your Username in. Now you have access to more commands at the bottom of each page.
[[Name_Of_Your_Page?]].
When you save the page, that text will look like [[Name_Of_Your_Page?]]. Notice the question-mark. You can then click on the question-mark to go to an editing page. (Please don’t make a new page there with that name so we can preserve the nice little question mark!)Practice editing in The Sandbox.
Find the following limits. Be sure to explain your reasoning at every step.
\begin{alignat*}{3}
&a) \lim_{x \to \infty}\frac{x+\sin x }{ 5x+6} & &b) \lim_
{x \to \infty}\frac{\sin x }{ x} & &c) \lim_{x \to \infty}x \sin \frac{
1 }{ x} \\
&d) \lim_{x \to \infty}\frac{x \sin x }{ x^2+5} &
&e) \lim_{x \to \infty}{\sqrt {x^2+x} - x} &
&f) \lim_{x \to \infty}\frac{x^2( 1+ \sin^2x) }{ (x+\sin x
)^2}
\end{alignat*}