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theatre448Lv1
19 Apr 2022
Compute s3 (the 3rd partial sum) of s=∑[n=1 to ∞] 6/(5n^8) :
s3=
Note: if giving a decimal approximation to this part, you may need to enter more digits than usual. You may also need to complete other parts of the problem before Webwork will recognize this answer as correct.
(b) Estimate the error in using s3 as an approximation of the sum of the series (i.e. use ∫[∞,3] f(x)dx≥R3 ):
Estimate =
(c) Use n=3 and
sn+∫[∞,n+1] f(x)dx≤s≤sn+∫[∞,n] f(x)dx
to find a better estimate of the sum:
≤s≤
Compute s3 (the 3rd partial sum) of s=∑[n=1 to ∞] 6/(5n^8) :
s3=
Note: if giving a decimal approximation to this part, you may need to enter more digits than usual. You may also need to complete other parts of the problem before Webwork will recognize this answer as correct.
(b) Estimate the error in using s3 as an approximation of the sum of the series (i.e. use ∫[∞,3] f(x)dx≥R3 ):
Estimate =
(c) Use n=3 and
sn+∫[∞,n+1] f(x)dx≤s≤sn+∫[∞,n] f(x)dx
to find a better estimate of the sum:
≤s≤
Read by 2 people
19 Apr 2022
