calc: Taylor Series

 
 11.5.5 Taylor Series
 --------------------
 
 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.