Barrons AP Calculus

(D) .   Note    that    the series  converges   by  the Alternating Series

Test.   Since   the first   term    dropped in  the estimate    is   ,  the estimate    is

too high,   but within  0.1 of  the true    sum.

(C) ,   which   equals  a   constant    times   the harmonic    series.

(D) We  seek    x   such    that

Then    |x| <   e   and the radius  of  convergence is  e.

(B) The error   is  less    than    the maximum value   of      for .

This    maximum occurs  at  .

(D)

Note    that    the curve   is  traced  exactly once    by  the parametric  equations

from    t   =   0   to  t   =   1.