Hello there :P first of all i love that site

been trying to learn math before going back to school so you guys are a good way to learn and love math

so i do have a trouble here with a taylor series... been doing them for quite a while but that one i can't get halfway before seeing mistake appearing

f(x)= sin(x/2) i could use any point i wanted i took a= pi for fun... now i can't get aways with it

anyone got patience to show me how i can't get the convergence information?