All GRE Subject Test: Math Resources
Example Questions
Example Question #11 : Comparing Series
For which values of p is
convergent?
Possible Answers:
it doesn't converge for any values of
All positive values of
only
Correct answer:
only
Explanation:
We can solve this problem quite simply with the integral test. We know that if
converges, then our series converges.
We can rewrite the integral as
and then use our formula for the antiderivative of power functions to get that the integral equals
.
We know that this only goes to zero if . Subtracting p from both sides, we get
.
Mohammed
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University of Maryland-College Park, Bachelor of Science, Electrical Engineering. University of Maryland-College Park, Master...
Benjamin
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Johns Hopkins University, Bachelor in Arts, Mathematics. Johns Hopkins University, Bachelor of Science, Electrical Engineering.
All GRE Subject Test: Math Resources
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