Questions From text book. Hope can get right answer. Steps are not necessary, I just want to check my own answer.

Question 1 Find the Taylor series centered at a: = 0 for the following function: 1point f0\") : eSm 00 Answer: 2 E! D n20 (Be sure to indicate all multiplications explicitly with an asterisk *.) Question 2 Find the Taylor series centered at a: = 61r for the following function: 1 point ft\") = $110\") 00 Answer: 2: ' n=0 of] (Be sure to indicate all multiplications explicitly with an asterisk * and remember to type pi for 7r.) Question 3 The Taylor series for cos(a:) centered at as = 0 is given by: 1point :00: (_1)n$2n \":0 (271)! Using this result, determine a power series representation for f(:l:) = $7 cos(a73). (X) Answer: f(:) = 2 D 7120 (Be sure to indicate all multiplications explicitly with an asterisk *.)