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B
0.0
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C
N
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D
N + 1
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Solution
The correct option is B 0.0 N∑nn=1=N(N+1)2N∑n2n=1=N(N+1)(2N+1)6N∑n3n=1=(N(N+1)2)2Δ=∑Nn=1Un=N(N+1)12⎛⎜⎝6152(2N+1)2N+12N+13N(N+1)3N23N∣∣
∣
∣∣OnApplyingC1→C1−C3,weget−Δ=⎛⎜⎝1152N+12N+12N+13N23N23N∣∣
∣
∣∣AsC1andC2areidenticalHence,Δ=0