You can choose any delta, so that f(t)\*constant=f(t+delta) for every t.

rat9988 · on June 26, 2019

I have misunderstood your original comment. You are indeed correct.

Edit: I just noticed that the function which maps x to 0 satisfies this condition as well, but isn't the exponential function if we consider 0 as part of the domain definition. It doesn't matter much for our discussion though.