Approximate the Sum of the Convergent Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } }$

question 60

Multiple Choice

Approximate the sum of the convergent series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } }$ using four terms. Estimate the maximum error of your approximation. Round your answers to four decimal places.

• A)The approximate value is 2.4470.The maximum error of your approximation is 0.2532.
• B)The approximate value is 1.4236.The maximum error of your approximation is 0.2500.
• C)The approximate value is 2.4292.The maximum error of your approximation is 0.2665.
• D)The approximate value is 3.4207.The maximum error of your approximation is 1.2471.
• E)The approximate value is 1.4260.The maximum error of your approximation is 0.2517.

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