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GATE EC 2016 Set 1 — Question 50

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NAT+2 / -0HardSumming & DifferenceOp-Amp CircuitsAnalog CircuitsSequences, Series & ConvergenceCalculusEngineering Mathematics

Analog Circuits → Calculus → Sequences, Series & Convergence

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Question

An ideal opamp has voltage sources V1,V3,V5,…,VN−1V_1, V_3, V_5, \dots, V_{N-1} connected to the non-inverting input and V2,V4,V6,…,VNV_2, V_4, V_6, \dots, V_N connected to the inverting input as shown in the figure below (+VCC=15 volt+V_{CC} = 15 \text{ volt}, −VCC=−15 volt-V_{CC} = -15 \text{ volt}). The voltages V1,V2,V3,V4,V5,V6,…V_1, V_2, V_3, V_4, V_5, V_6, \dots are 1,−1/2,1/3,−1/4,1/5,−1/6,… volt1, -1/2, 1/3, -1/4, 1/5, -1/6, \dots \text{ volt}, respectively. As NN approaches infinity, the output voltage (in volt) is ___________
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