Lecture 26 : Comparison Test

Comparison Test Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Limit Comparison Test Example Example Example Example Example ExampleComparison TestIn this section, as we did with improper integrals, we see how to compare aseries (with Positive terms) to a well known series to determine if it convergesor will of course make use of our knowledge ofp-series and geometricseries. Xn=11npconverges forp>1,diverges forp 1. Xn=1arn 1converges if|r|<1,diverges if|r| TestSuppose thatPanandPbnare serieswith positiveterms.(i) IfPbnis convergent andan bnfor alln, thanPanis alsoconvergent.(ii)IfPbnis divergent andan bnfor all n, thenPanis PilkingtonLecture 26 : Comparison TestComparison Test Example 1 Example 2 Example 3 Example 4 Example 5 Example 6 Limit Comparison Test Example Example Example Example Example ExampleComparison TestIn this section, as we did with improper integrals, we see how to compare aseries (with Positive terms) to a well known series to determine if it convergesor will of course m

Comparison Test In this section, as we did with improper integrals, we see how to compare a series (with Positive terms) to a well known series to determine if it converges or diverges. I We will of course make use of our knowledge of p-series and geometric series. X1 n=1 1 np converges for p >1; diverges for p 1: X1 n=1

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