Mathematica How to compute a Taylor expansion for f(x,y) using Mathematica?

[chinaman209]

Can someone pls explain hot to compute a taylor expansion for f(x,y) using mathematica

 

[Dale]

Series[f[x,y],{x,0,1},{y,0,1}]

 

[chinaman209]

When I expand like that i get some zero terms like 0(y+2)^2.. and so one repeated a finite number of times. When i try to simplify the answer the zeroes don't go away. So are these really zero?

 

[Dale]

Those are not 0 (number zero) they are O (letter "Oh"). The term O[y+2]^2 means an unspecified term of order (y+2)^2 to represent all of the higher order terms in the expansion. If you want to get rid of it then just use:

Normal[Series[...]]