Calculus 2: Infinite Sequences and Series (18 of 62) Sequences: Converging or Diverging - Type 1

In this video I will calculate whether a given sequence is converging or diverging: Type 1.

Next video in the series can be seen at:

[tomctutor]

Excellent description and solution to a difficult mechanical problem- also nice to see how you use simple mathematics (even in your head) rather than always jumping to the calculator that I often chastise my students for!

[RiaziMohandesi]

Hi Professor. We know harmonic series ( 1/n ) diverges. But based on the Ratio Test, it ((n+1)th term)/ (nth term) approaches zero, so it should be convergent! Why?

[legendaryxk]

Sir, why did you remove the roots for the log?

[nymph]

my calculus teacher doesn't want us to just put in big values for n to find the limit but wants us to prove why re-forming the formula, in that case how can I re-form the formula 3 to find its limit?

[sarkersaadahmed]

calculators arent allowed so how would we proov it withuot it

[rah]

Can you also find the limit of ( a sub n ) as n goes to infinity?

[Turkinger]

Great video and very helpful, but I did not expect to see a lecturer use a calculator to find ln(1) to be equal to 0 :)

[multifreak]

How would you find the sum of such series?

[pipertripp]

Ah, so here we're talking about sequence rather than series... was going to point out that these all fail the nth-term test in that the limit != 0... but that's for infinite series, not sequence, eh?