Session 1.10 Series Approximations

> taylor(tan(x),x,3); Taylor series of tan(x) around x

Maple V assumes the center point to

be the origin

> taylor(tan(x),x,7); Specifying the order of the first neglected

term to be 7 gives two more terms in the

series.

> taylor(x/(x^2+3*x+2),x,5); Another series centered at the origin.

> taylor(x/(x^2+3*x+2),x=-1,5);

Attempted to determine Taylor series

around x=-1, but there is a pole there.

Error, does not have a taylor expansion, try series()

> series(x/(x^2+3*x+2),x=-1,5);

The series is defined around x=-1

Defaults and problems with using the taylor and series functions

> taylor(sin(x),x); No order specified. Maple V assumes

a default value of 6

> taylor(1/(1+x),x); Defa ult order : 6

> series(sin(x)); No variable specified as series variable

Error, wrong number (or type) of parameters in function series

>