calc: Taylor Series
11.5.5 Taylor Series
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The ‘a t’ (‘calc-taylor’) [‘taylor’] command computes a power series
expansion or Taylor series of a function. You specify the variable and
the desired number of terms. You may give an expression of the form
‘VAR = A’ or ‘VAR - A’ instead of just a variable to produce a Taylor
expansion about the point A. You may specify the number of terms with a
numeric prefix argument; otherwise the command will prompt you for the
number of terms. Note that many series expansions have coefficients of
zero for some terms, so you may appear to get fewer terms than you asked
for.
If the ‘a i’ command is unable to find a symbolic integral for a
function, you can get an approximation by integrating the function’s
Taylor series.