What is the Taylor Series Expansion for f(x) = (sinx)/x?

[jackalsniper]

what is the taylor's series expansion polynomial for the function f(x) = [(sinx)/x]

p/s : i can't open the latex reference, sorry

 

[jackalsniper]

sin x = x - x^3/3! + x^5/5! -+...
so does it mean that [(sin x) / x] = 1 - x^2/3! + x^4/5! -+ ...?

 

[lurflurf]

Tha true, but some justification may be requireg depeding the level or rigor you are using.
hint: use absolute convergence