Practice: Integral Test

3 Activities

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

It converges

It diverges

Cannot be determined

I don't know

Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

Practice Question
Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Practice Question
Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Practice Question
Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

Practice Question
Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.

Practice Question
Determine whether ∑n=3∞ln⁡nn\sum\limits^\infty_{n=3}\frac{\ln n}{n}n=3∑∞​nlnn​ converges or diverges.

Determine whether ∑n=1∞3nen2\sum\limits^\infty_{n=1}\frac{3n}{e^{n^2}}n=1∑∞​en23n​ converges or diverges.