you should use a direct comparison test for the first one, compare it with a p series... can you see which one? When you add something to the denominator the fraction gets smaller
Hello,
I am supposed to show why the following series are convergent or divergent, but I didn't get very far with either direct comparison, root, or ratio tests:
1.
I would have thought that by direct comparison I could show that (1) converges, but not sure. (2) leaves me at a complete loss, though.
2.
any help appreciated.
thank you -
Oz.
1.
for every
Now, You are supposed to complete it.
2.
After applying tha Root Test, you will face the following limit:
.
Evaluate this limit, and hance, determine the convergence of the series by using the concept of the Root Test.
**Edit** :
Ohhh sorry I did not read the whole question, Try to use the integral test to the first one.
What is the tests which you are fimilar with ?