Textbook ExpertVerified Tutor
8 Nov 2021
Given information
Given two divergent series, and .
Step-by-step explanation
Step 1.
It is not necessary that sum of two divergent series is compulsory divergent or convergent. In some cases, it is convergent, while in some it is divergent.
Case 1.
Consider two series and where and .
Now since (not defined) , is divergent.
Similarly, (not defined) , is divergent.
The sum of these two series is given as:
Thus, is convergent.