Question

Choose all correct statement:

Select one or more: John: "... series centered at x=c" means that function f(x) must have symmetry with respect to x=C Sarah: Taylor polynomial and Taylor partial sum both have the same number of terms but polynomial doesn't imply summation while partial sum obviously does. Lucas: Taylor series actually turn f(x) into a complicated combination of multiple functions, i.e. f', f", f"',... not even counting all the powers of (x-c). Emily: Maclaurin series is completely different from Taylor series 0 Mary: "... series centered at x=c" means that we focus on the vicinity of x=c but it has nothing to do with the symmetry about x=c Chris: Taylor polynomial and Taylor partial sum are exactly same thing by the definition. Olivia: Maclaurin series and Taylor series are essentially the same, the only specification is C = 0. Emma: Taylor series turn f(x) into polynomial of (x-c)., which is (possibly) easier to work with since any polynomial is easier to differentiate or integrate comparing to any f(x).

Answer 1

- Sall The Maclaudin series of a function is a special case of Taylor series of the function with CEO, Therefore correct statements are: Olivia: Maclausn series and Taylor series are essentially the same, the Specification is ero. only Emma: Taylor sexies fuan fene) ento polynomial of (-e), which is (possibly) easier to chook with since any polynomial is easter to differentiate al entegrate comparing to any f(ae).