Basic Examples (3)
Basic Examples
(3)
This is a power series for the exponential function around :
x0
In[6]:=
Out[6]=
-----+(1.-4.54297×)+(1.-1.67207×)x+(0.5-1.49215×)+(0.166667-7.22073×)+(0.0416667-2.82499×)+(0.00833333-2.93059×)+
5.78185×+4.36677×
-17
10
-18
10
5
x
6.245×-8.03265×
-17
10
-18
10
4
x
1.38778×-4.57183×
-16
10
-17
10
3
x
1.09938×+2.87761×
-16
10
-18
10
2
x
1.85941×+4.45741×
-17
10
-17
10
x
-17
10
-16
10
-16
10
2
x
-17
10
3
x
-17
10
4
x
-17
10
5
x
6
O[x]
In[7]:=
%//Chop
Out[7]=
1.+x+0.5+0.166667+0.0416667+0.00833333+
2
x
3
x
4
x
5
x
6
O[x]
Using extended precision may also eliminate spurious imaginaries:
In[8]:=
Out[8]=
1.000000000000000+x+0.500000000000000+0.166666666666667+0.0416666666666667+0.008333333333333+
2
x
3
x
4
x
5
x
6
O[x]
Scope (2)
Scope
(2)
Options (2)
Options
(2)
Applications (3)
Applications
(3)
Properties & Relations (2)
Properties & Relations
(2)
Possible Issues (2)
Possible Issues
(2)
Neat Examples (2)
Neat Examples
(2)