5.2.1

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Instructor: I’m going to apply those same properties to this series. Factor a 5 out. By the way, the integral is an infinite sum. We could use these same properties, factoring things out of an integral, just like we can taking them out of this infinite sum. All right now, this is 1/2 to the n minus 1. Now 1/2 to the n minus 1, the sum from 1 to infinity of that is just 2. So this is 10. 

So if we do see a familiar series that we know converges, that is certainly helpful as you're evaluating these.