# Exercici 11.11

kill(all)$

## Polinomi de grau 2

f(x,y):= exp(x)*cos(y);

T[2](x,y) = taylor(f(x,y), [x,y], [0,0] , [2,2]) ;

ratsimp(%);

expand(%);

## Polinomi de grau 3

T[3](x,y) = taylor(f(x,y), [x,y], [0,0] , [3,3]) ;

ratsimp(%);

expand(%);

## Polinomi de grau 4

T[4](x,y) = taylor(f(x,y), [x,y], [0,0] , [4,4]) ;

ratsimp(%);

expand(%);