Everyone Loves Cheat Sheets!

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I found these cheat sheets on calculus at dummies.com, so I thought I would share. Some of it we do not need yet, but we will later on in the semester.

You can also click here and get the printable version, so you can keep all of these cheat sheets with you in your backpack!

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Calculus class has been easy so far.  All we have learned about is continuity and limits. “If you have to pick up your pencil when drawing the graph of the function then it is not a continuous function.” 

Yesterday we did learn a short cut when finding limits to a piece wise function:

If we substitute x=k into a rational function and get \frac {N}{0} latex where N is a non-zero number, then there is a vertical asymptote at x=k, and the limit \bullet  \overset{lim (fx)}{x \rightarrow k} DNE

\large OR

If we substitute x=k  into a rational function and get \frac {0}{0}, then it might be a point discontinuity but it might be a vertical asymptote . Therefore, we have to do more work. Factor numerator and denominator and cancel.

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