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

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.