SeriesExpand
SeriesExpand[
f
,
{
x
,
,
n
}]
generates a power series expansion for
f
about the point
to order
.
SeriesExpand
can construct standard Taylor series, as well as certain expansions involving negative powers, fractional powers, and logarithms.
SeriesExpand
detects certain essential singularities.
SeriesExpand
can expand about the point
.
SeriesExpand[
f
,
{
x
,
0,
n
}
]
constructs Taylor series for any function
f
according to the formula
.
SeriesExpand
effectively evaluates partial derivatives using
D
. It assumes that different variables are independent.
Examples
Using InstantCalculators
Here are the InstantCalculators for the
SeriesExpand
function. Enter the parameters for your calculation and click
Calculate
to see the result.
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Entering Commands Directly
You can paste a template for this command via the Text Input button on the
SeriesExpand
Function Controller.
This gives the general Taylor series up to the fifth degree term for a function
f
.
In[3]:=
Out[3]=
Here is a series for
.
In[4]:=
Out[4]=
Here is a series for
.
In[5]:=
Out[5]=
You can do arithmetic on series objects.
In[6]:=
Out[6]=
