The circuit below is used as an on/off switch to turn 60 ohms led on when v2 is below around 0.6V or below and to turn led 60 ohms off when v2 is above 0.6V. I have been analyzing the circuit for four months or so but cannot understand the purpose of r5 resistor. Can someone please explain to me not in English verbiage form that is but in actual circuit analysis and in equations what is the purpose of r5? Also, if r5 were to be removed what would happen the circuit would turn on/off at 0.6V or not?

