7) 

Plot the sequences  Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi( = Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(  and  Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi( = Typesetting:-mrow(Typesetting:-mfrac(Typesetting:-mn(  from n = 20 to 150 on the same plot.  Assuming what we see continues off to infinity (easily checked by hand), can we use the Comparison Test to say anything about the convergence of the series  ?  Now plot the sequences  Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi(  and   Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi(    again from n=20 to 150 on the same plot.  Assuming what we see continues (easily checked by hand), can we use the Comparison Test to say anything about the convergence of the series  ?  

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