Series

Series

### Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. $$\sum_{n=1}^\infty\frac{n^2}{(n+1)(n^2+2)}$$

Transformations of functions

### Sketch a graph of the function. Use transformations of functions whenever possible. $$\displaystyle{f{{\left({x}\right)}}}=-{\left({x}-{1}\right)}^{{{4}}}$$

Polynomial graphs

Matrices

Matrices

Matrices

### Explain the term Comparable matrices?

Transformations of functions

Series

Matrices

Matrices

Series

Vectors

Series

Complex numbers

Series

Series

### Determine the first four terms of the Maclaurin series for sin 2x (a) by using the definition of Maclaurin series. (b) by replacing x by 2x in the series for sin 2x. (c) by multiplying 2 by the series for sin x by the series for cos x, because sin 2x = 2 sin x cos x

Limits and continuity

Matrices