Expression 4: Start sum from "n" equals 0 to 4, end sum, StartFraction, 1 Superscript, 2 "n" , Baseline Over left parenthesis, 2 "n" , right parenthesis ! , EndFraction4∑n=012n2n!
equals=
1.5 4 3 0 8 0 3 5 7 1 41.54308035714
4
Expression 5: hyperbolic cosine left parenthesis, 1 , right parenthesiscosh1
equals=
1.5 4 3 0 8 0 6 3 4 8 21.54308063482
5
Expression 6: Start sum from "n" equals 0 to 4, end sum, StartFraction, 5 Superscript, 2 "n" , Baseline Over left parenthesis, 2 "n" , right parenthesis ! , EndFraction4∑n=052n2n!
equals=
70.9 3 1 1 7 5 5 9 5 270.9311755952
6
Expression 7: hyperbolic cosine left parenthesis, 5 , right parenthesiscosh5
equals=
74.2 0 9 9 4 8 5 2 4 874.2099485248
7
The Taylor approximation at x=1 is better because it is closer to the center.