- 8.1
( expr, var, low, high )
- Evaluates expr for each value of var from low to high and returns the sum of the results.
- 8.2
( expr, var, low, high )
- Evaluates expr for each value of var from low to high and returns the product of the results.
- 8.3 Asum( a, d, n )
- Returns the [ last term, sum ] of an arithmetic series. Enter first term, a, common difference between terms, d, and number of terms, n.
- 8.4 Gsum( a, r, n )
- Returns the [ last term, sum ] of a geometric series. Enter first term, a, common ratio between terms, r, and number of terms, n.
- 8.5 ratio( f(n), n )
- Ratio convergence test. Tests the convergence of a series with the general term f(n). Returns "converges", "diverges", or "unknown".
- 8.6 root( f(n), n )
- Root convergence test. Tests the convergence of a series with the general term f(n). Returns "converges", "diverges", or "unknown".
- 8.7 raabe( f(n), n )
- Raabe's convergence test. Tests the convergence of a series with the general term f(n). Returns "converges", "diverges", or "unknown".
- 8.8 taylor( f(x), x, n, [p] )
- Taylor series expansion. Returns n terms of the Taylor series expansion of the function f(x) around the point [p]. If [p] is omitted the default point is 0.
- 8.9 fouric( f(x), x, lo, hi, n )
- Fourier series expansion. Returns n terms of the Fourier series expansion of the function f(x) on the interval [ lo, hi ].
- 8.10 Efourir( f(x), L, n )
- Fourier series expansion of an even function, f(x), from 0 to L. Returns n terms.
- 8.11 Ofourir( f(x), L, n )
- Fourier series expansion of an odd function, f(x), from 0 to L. Returns n terms.
