Math 166
Fall 2001
Exam 3
a) b)
where
is the
partial sum of the
positive term series
c)
a) b)
c)
d)
e) f)
a)
Find the smallest so that the error of estimating
with the
partial sum gives an
error bound less than or equal to .01.
b)
Find the smallest so that the error of estimating
with the
partial sum gives an
error bound less than or equal to .01.
a)
Find a series for centered at
What is its radius of
convergence?
b)
Use your series to show that
c)
How many terms are necessary so that using the partial sum of the
series above to estimate
gives an error bound of less than .01?
a)
Find Maclaurin series for and
b)
Evaluate with error less than or equal to
c)
Evaluate