- #1
knv
- 17
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1. Show that the series is convergent and then find how many terms we need to add in order to find the sum with an error less than .001
Ʃ (-1)(n-1)/ √(n+3)
from n = 1---> infinity
2. I took the derivative.
3. f(x) = (x+3)-1/2
f'(x) = -1/2 (x+3)-3/2
Then I set up the following
Absolute value (1/(n+1+3)) < .001
n+4 > (1/.001)2
Got 999,997 for the answer. not sure what I am doing wrong. Help!
Ʃ (-1)(n-1)/ √(n+3)
from n = 1---> infinity
2. I took the derivative.
3. f(x) = (x+3)-1/2
f'(x) = -1/2 (x+3)-3/2
Then I set up the following
Absolute value (1/(n+1+3)) < .001
n+4 > (1/.001)2
Got 999,997 for the answer. not sure what I am doing wrong. Help!