Use the Integral Test to determine whether the infinite series is convergent.
∑n=3∞20ne−n2∑n=3∞20ne−n2
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for ∞∞, -inf for −∞−∞, and DNE if the limit does not exist.
Find the values of pp for which the series converges.
∑n=1∞lnnn5p∑n=1∞lnnn5p
Answer (in interval notation):
Find the value of the integral
∫∞2dx3x(ln(9x))2.∫2∞dx3x(ln(9x))2
Use the Integral Test to determine whether the infinite series is convergent.
∑n=14∞n2(n3+4)52∑n=14∞n2(n3+4)52
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for ∞∞, -inf for −∞−∞, and DNE if the limit does not exist.
Use the Integral Test to determine whether the infinite series is convergent.
∑n=1∞87lnn∑n=1∞87lnn
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for ∞∞, -inf for −∞−∞, and DNE if the limit does not exist.
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STM32 (1)