1.
2.
3.
6.
Part A
(B) Since to render f (x) continuous at x = 1, define f (1) to be
1.
(C) The limit is of the form so after applying L’Hôpital’s
Rule, we get . Or, using the substitution we can
rewrite the limit as
(C) Obtain the first few terms of the Maclaurin series generated by f(x) =
(C) Here,
and