3. (4 POINTS EACH) Find a Taylor series representation for each of the following functions centered at the specified value of a. You need not determine the intervals or radii of convergence for these series. a. f(x) = xex+2; a = 1 f ( x ) = x.e * + 2 f ( 1 ) = 28 f' ( x ) = x.e X+ 2 X + 2 + e f ' ( l) = ze f " ( x ) = x. e x+ 2 X + 2 + ze f " ( 1 ) = 3 e x +2 f" ( x ) = X.e + 3 e X + 2 f " ( 1 ) = 4e 3 i. fly) = _es (x - 1)0 + ze 1! ( X - 1)' + 303 21 ( X - 1 ) + 403 31 ( X - 1) ... es + ze ( x - 1 ) + 2 2 3 ( x- 1) ? + Be ( x - 1) 3