Subject GRE-Style: Series Convergence

GRE Math Subject · Axiom Academy

EXAMPLE GRE-Style Series Convergence For large n , the general term behaves like: This suggests the series might converge (since converges). Use the limit comparison test with : Divide numerator and denominator by n^4 : The limit is a positive finite number, so the series converges by the limit comparison test since converges. GRE Insight: When the general term looks complicated, extract the dominant behavior and use limit comparison. This is more efficient than other tests for rational functions.

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