During an experiment, a guy throws a bouncy ball from a 90 feet tall building. The ball has a specific characteristic. Every time it hits the ground, it bounces up half way.
How many bounces do you think the ball will make before it comes to a stop ?
Clearly as per the data given in the question, the ball will always keep on bouncing half way up and thus it will take infinite bounces before the gravity forces it to stop.