GATE Electronics and Communications (EC) 2016 Shift 1 Solved Paper

An ideal opamp has voltage sources V₁, V₃, V₅, …, V_N-1 connected to the non-inverting input and V₂, V₄, V₆, …, V_N connected to the inverting input as shown in the figure below (+V_CC = 15 volt, −V_CC = −15 volt). The voltages V₁, V₂, V₃, V₄, V₅, V₆,… are 1, − 1/2, 1/3, −1/4, 1/5, −1/6, … volt, respectively. As N approaches infinity, the output voltage (in volt) is ___________