Test whether the following series converges:
This series diverges.
Proof. We use the comparison test with the known divergent series . First,
since for all . Therefore,
Thus, by the comparison test we have established the divergence of
Test whether the following series converges:
This series diverges.
Proof. We use the comparison test with the known divergent series . First,
since for all . Therefore,
Thus, by the comparison test we have established the divergence of