Convergence Tests Divergence Test Statement: \mbox{ \small If $\lim {k \rightarrow \infty} u k \ne 0$ then $\sum u k$ diverges.} Comment: \mbox{ \small If ...

Famous Series Geometric Series 1 x x^2 x^3 ... \left \{ \begin{array}{l} \mbox{ \small $ \frac{1}{1 x}$ if $ x 1$ } \end{array} \right. \mbox{ \small ...

Math Support Center Capsules Compact study capsules address topics from pre calculus to calculus, provide another view of topics students often find troublesome and ...

New Series From Old Series are just functions built of sums and products and can be manipulated like any other function. The relatively short list of FamousSeries ...

Useful Inequalities Always a. \sin{x} \le 1 a. \csc{x} \ge 1 a. \cos{x} \le 1 a. \sec{x} \ge 1 a. \sin{x} \le \tan{x} a. n^2 1 \le ...

Useful Limits ...for working with sequences and series. Exponentials \lim {h \rightarrow 0} (1 h)^{\frac{1}{h}} e \lim {n \rightarrow \infty} (1 \frac{1}{n} ...

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