In Act I, scene ii (p. 1020), King Claudius tells Hamlet: “[…

In Act I, scene ii (p. 1020), King Claudius tells Hamlet: “ you have to remember, that your father lost his father who lost his father before him, and every time, eachson has had to mourn his father for a certain period. But overdoing it is just stubborn. It’s not manly…’” What does King Claudius mean by these lines?

1. Let . (a)  [10 points] Find the third-order Taylor polyno…

1. Let . (a)   Find the third-order Taylor polynomial  for about and use it to approximate . Hint: You don’t need to simplify your final answer.  (b) Assume that  is used in order to approximate on . Then,  find an upper bound for the remainder or error involved in part (a). (c) Use the Taylor polynomial in part (a) to approximate