Question

a signal whose power is zero but have infinite energy?

Answer 1

whose power? What?
Your not making sense... Please clarify!

Answer 2

Does this work:

\[f(t)=t^{1/3}, 0 \le t \le \infty\]

For a signal to have infinite energy, it is enough that it does not decrease to 0 as t goes to infinity. This signal keeps growing.

For a signal to have zero power, its square must fall off faster than 1/t as the definition of power divides by T as T approaches infinity.

Answer 3

Sorry I could not help...
But you can mention a pro!

Answer 4

@ then use there username example:
@Visionary01