In today's age, one could simply add them all up. 0.307... < 0.375
Perhaps regroup? 1/2 - 1/12 - 1/30 - 1/56 - ... etc. Will those terms be turning positive any time? Can we just take enough terms to get less than (3/8 - 1/2010) and be done?
Let's see what you conclude?
I'm wondering if you professors with progressive thinking would take a chart as proof...
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