p-series test and integral test (10 infinite series)

We will use the p-series test and the integral test (and maybe other tests from the previous videos) to see if an infinite series convergence or not. Remember we have to make sure the function is positive, decreasing, and continuous before we use the integral test. And to use the integral test, just change the infinite series to its corresponding improper integral and then work out the integration and the limit. Subscribe for future videos by clicking 👉 https://bit.ly/just_calc #calculus2

0:00 10 infinite series
0:08 Q1 series of 1/n^(ln(2))
1:27 Q2 series of 1/n^3
2:40 Q3 series of 1/(n*ln(n))
6:15 Q4 series of n/e^(n^2)
12:13 Q5 series of tan^-1(n)/(n^2+1)
18:48 Q6 series of n^2/sqrt(n^3+1)
21:59 Q7 series of 1/(n+sqrt(n))
26:39 Q8 series of 1/(n*sqrt(n))
27:28 Q9 series of e^(1/n)/n^2
31:58 Q10 series of cos(1/e^n)

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