When I calculated this by hand, the constant term is 1/4 but sage gives 3/4.
Sage: 316(x−2)2−14x+34
My calculation:
14−14(x−2)+316(x−2)2
I'm learning taylor series and sage at the same time, so its quite possible I'm misusing sage. I checked the same thing on wolframalpha, and it agrees with me.
Any ideas? I running sage Sage Version 6.0,Release Date: 2013-12-17 under Ubuntu 12.10. Thanks.