Show that 2^n/n! Converges to 0 by showing that 2^n/n! <= 4/n My problem is in showing 2^n/n! <= 4/n I know 4/n goez to 0, but how to get the inequality to be true? Doing some rough work I noticed that it "appears" to be true for n>=3. Would induction be the way to go about this step? Because nothing else is I am thinking of is coming close to a full thought.