Find the approximations L n , R n , T n and M n for n = 5 , 10, and 20. Then compute the corresponding errors E L , E R , E T , and E M . (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when n is doubled? ∫ 1 2 1 x 2 d x
Solution Summary: The author evaluates the approximation L_n,RN and the computation of the corresponding errors for the integral.
Find the approximations
L
n
,
R
n
,
T
n
and
M
n
for
n
=
5
, 10, and 20. Then compute the corresponding errors
E
L
,
E
R
,
E
T
, and
E
M
. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) What observations can you make? In particular, what happens to the errors when n is doubled?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.