### Related

##### powerseries-sin-taylor

powerseries:sin(%pi/6...

taylor:sin(%pi/6+x);

Calculate

##### powerseries

f(x):=(-1-x+e^x)/(x^2);

powerseries(f(x), x, 0);

Calculate

##### powerseries

powerseries(1/(x+3*%i...

Calculate

##### powerseries-true-verbose

verbose: true;

powerseries (ln(16+x...

Calculate

##### powerseries

powerseries(2/(z*(z-1...

Calculate

##### powerseries-sqrt

powerseries(sqrt(1+3*...

Calculate

##### powerseries

powerseries(ln(1+e^x)...

Calculate

##### powerseries-sin

powerseries(x/(sin(x)...

Calculate

##### powerseries

powerseries(1/(x*x -2...

Calculate

##### powerseries

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

Calculate

### 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]);
plot```

### Related Help

Help for Powerseries