Question: taylor expansion

February 15 2014 taro 90
Maple

0

I want to taylor-expand cos(x) to the powers of two, four, and six, then to make equations which does not contain O(x^2) etc. and to obtain its value at x=0.1.

For that, I wrote as the following.
(1):
a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]);
convert(a),polynom);

(2):
a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]);
seq(convert(op(i,a),polynom),i=[2,4,6]);

(3):
a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]):
convert(a,polynom);

All of the above were not good.

On earth, I couldn't pick up each of the result of
a:=seq(taylor(cos(x),x=0,i),i=[2,4,6])
with op(1,a).

How can I solve this problem?

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