when a user liked a particular photo for the first launch of a mobile app, and the time different where by the event started and stoped was k seconds which is at constant (does not change). At this constant thus triggered the like application operation or function that was connected to the application server. Then later the user unlike the photo and the same event and operation was carried out at of (k + 2) seconds. The time variation that was carried out during the sequential or running loop event carried out by 2 seconds.

check if this derived equation is correct first f(X_n) = e_n(X_nⁿ  + X_n⁰ + 1) . if its correct do the second question.

what is the rate at which the operation will be finish given an equation f(X_n) = e_n(X_nⁿ  + X_n⁰ + 1)