Dropping Eggs Puzzle For 2 Eggs and 100 Floors: Correct Answer Anyone?

A friend asked me this question, the other day -

There is a building of 100 floors  If an egg drops from the Nth floor or above it will break. If it’s dropped from any floor below, it will not break.

You’re given 2 eggs. Find N, while minimizing the number of drops for the worst case.

Also, what will be the answer when an Infinite Number of eggs are given?

Quite mind boggling this puzzle is! 😮