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Limit Comparison for Improper Integrals
Worksheet
Grade Level
Calculus II
CAL2.50 Limit Comparison for Improper Integrals
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At x=0, use limit comparison to decide ∫_0
1
[x-ln(1+x)]/x
2
dx.
A
Compare with 1/x; the limit is 1/2, so the integral diverges.
B
Compare with 1; the limit is 1/2, so the integral converges.
C
Compare with 1/x
2
; the limit is 1/2, so the integral diverges.
D
Compare with 1/√x; the limit is 1/2, so the integral converges.
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