Lagrange Error Bound Worksheet With Answers- Calculus Maximus Ws 9.5 Page 5
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13Calculus Maximus
WS 9.5: Lagrange Error Bound
1 cos
x
7. Use the Maclaurin series for cos x to find
lim
.
x
x
0
8. The Taylor series about
x
3
for a certain function f converges to f x for all x in the interval of
convergence. The nth derivative of f at
x
3
is given by
n
1
n
!
1
n
and
f
3
f
3
n
3
5
n
3
(a) Write the fourth-degree Taylor polynomial for f about
x
3
.
(b) Find the radius of convergence of the Taylor series for f about
.
x
3
1
(c) Show that the third-degree Taylor polynomial approximates
f
4
with an error less than
.
4000
Page 5 of 13
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education