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29-04-2024
Mathematics

Answered

If the infinite series
[infinity]
S= ∑ (−1)ⁿ⁺¹ 2/n
n=1
is approximated by Pk
k
Pk= ∑ (−1)ⁿ⁺¹ 2/n
n=1
What is the least value of k for which the alternating series error bound guarantees that ∣S−Pk∣< 3/100?
(A) 64
(B) 66
(C) 68
(D) 70

Answer :

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