please solve questions number 1,2and 3 and show me your work

1. (10 points) (a) Find 103 (:13), the third order Taylor polynomial of f (:22) = centered at :2: = 1. (b) Use p3(x) to estimate x/i Make sure you show all of your work and do not use a calculator. 2. (10 points) Find the interval of convergence of the series f: 14(5): + 2)"6 k=1 5M1 3. (10 points) 1 3+2m' (a) Find a power series representation of (b) Find a power series representation of [Hintz part (a) should help with part (b)] (3 + 2.1:)