Question: Ifp <1, then the series diverges.Note that whenp=1, the series is called the harmonic series and diverges.We now have the Geometric Series Test,n-th Term Divergence
Ifp <1, then the series diverges.Note that whenp=1, the series is called the harmonic series and diverges.We now have the Geometric Series Test,n-th Term Divergence Test, Integral Test,andp-Series Test.Guided Exercises1. Use then-th term test to draw conclusions about the convergence behavior of thefollowing series:(a)Xn=1n2+2n+1n3+n+5(b)Xn=14n3+3n+231n3+4n+5(c)Xn=02n+3n50n/2
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