If \(S=1+\dfrac1{2^2}+\dfrac1{3^2}+\dfrac1{4^2}+\dfrac1{5^2}+\dfrac1{6^2}+\dfrac1{7^2}+\dfrac1{8^2}+\dfrac1{9^2}+\)

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A

B

C

D

E

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If \(S=1+\dfrac1{2^2}+\dfrac1{3^2}+\dfrac1{4^2}+\dfrac1{5^2}+\dfrac1{6^2}+\dfrac1{7^2}+\dfrac1{8^2}+\dfrac1{9^2}+\dfrac1{10^2},\) which of the following is true?

A. \(S > 3\)

B. \(S = 3\)

C. \(2 < S < 3\)

D. \(S = 2\)

E. \(S < 2\)

Answer: E

Source: Official Guide