Why is it so that for a signal to be an energy signal it must have power zero and for a power signal the energy value should be infinity ?
Answer
Reading between the lines of the question: -
Firstly a signal that posseses energy has the potential to do work - it can convert that energy into heat or just pass that energy on to something else. Energy isn't lost, it either remains "potential" energy or gets transferred to something else partially or wholly.
When energy is taken from an object or a component (such as an inductor or capacitor or spring or flywheel), the amount of energy taken divided by the time elapsed to take that energy is power. Over a long time period this is often called "average power"
Therefore, for a signal possessing energy to have zero power I guess you could say that it is not losing or gaining any energy i.e. it is in equilibrium.
By contrast, if something is giving off power and is still in energy equilibrium it must have infinite energy.
I've done the best I can to try and read between the lines of this question and if you want a better answer you'll have to try and explain the statements in your question.
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