2. (Taylor series/polynomials) Find the Taylor series or polynomials generated by the following functions: i. f(x)=, centred at x = 4, of order 3 ii. f(x)cosh x = e+e 2 centred at x = 0 " = /4 iii. f(x) = cos(2x+/2), centred at x=- 2/4 iv. f(x) = cos 5x2, centred at x = 0. For this and subsequent questions you may use the formula for a frequently used Taylor series. v. f(x) = x tan x, centred at x = 0 1 vi. f(x): = centred at x = 0, of order 4 1+x3