Test for the Convergence of Series | Direct Comparison Test | Limit Comparison Test | Real Analysis
In this video lecture, the test for the convergence of infinite series of non-negative terms is discussed with solved examples in Hindi.
Comparison test for convergence of series of non-negative terms:
1. Direct comparison test
2. Limit comparison test
These comparison test are highly useful for checking the convergence of series just by comparing with other known P-Series and Geometric series. Important questions on comparison test for university exams are solved thoroughly in this video lecture.
The shortcut tricks for finding the limit as n tends to infinity and choosing the series for comparison is discussed in detail. These shortcut tricks and tips are useful for solving questions in competitive exams like CSIR NET, SET, GATE, etc.
Click on following timing links to watch particular section from the video lecture.
The topic wise timing :
01:00 : Direct Comparison Test
04:06 : Revision: Geometric series & P-Series
09:04 : Limit Comparison Test
13:27 : Shortcut for finding limit as n tends to infinity.
19:06 : Important Solved Question on Limit comparison Test
24:20 : Shortcut trick to choose the series for comparison
31:16 : Question asked in SET Exam on Comparison Test
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You can also watch video lectures from following topic wise playlist:
Sequence and Series :
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