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powerseries

powerseries(((-1)^(n-...

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powerseries

powerseries((1-t+t**2...

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powerseries-true-verbose

verbose: true;

powerseries ((1-q*x)...

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powerseries-true-verbose

verbose: true;

powerseries ((1-q*x)...

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powerseries

powerseries(1/((1-t)*...

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powerseries

powerseries((1+x)**p,...

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powerseries

powerseries(x, x, 0);

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powerseries-sin

f(x):=sin(x);

powerseries(f(x),x,10);

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powerseries

powerseries(1/(1+x), ...

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powerseries

powerseries(-2/(z-1),...

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powerseries

Run Example
(%i1)f:powerseries(sin(%pi/6+%pi/24),sin(%pi/6+x),x);
                                      5 %pi
(%o1)                             sin(-----)
                                       24
(%i2) float(f),numer;
(%o2)                          0.60876142900872
(%i3) 
Run Example
powerseries (f(x), x, x+h);
                                                    !
                                        i1          !
                         i1      i1    d            !
                        h   (- 1)   (-------- (f(x))!       )
                 inf                       i1       !
                 ====                d(- h)         !
                 \                                  !- h = 0
(%o1)             >     -------------------------------------
                 /                       i1!
                 ====
                 i1 = 0
(%i2) 
Run Example
niceindices(powerseries(%e^x, x, 0));
                                   inf
                                   ====   i
                                   \     x
(%o1)                               >    --
                                   /     i!
                                   ====
                                   i = 0
(%i2) taylor(%e^x, x, 0, 6);
                            2    3    4    5     6
                           x    x    x    x     x
(%o2)/T/           1 + x + -- + -- + -- + --- + --- + . . .
                           2    6    24   120   720
(%i3) plot2d([trunc(taylor(%e^x, x, 0, 6)), %e^x], [x,-5,5]);
plotplot2d([trunc(taylor(%e^x, x, 0, 6)), %e^x], [x,-5,5]);

Related Help

Help for Powerseries