Root Test for Convergence and Divergence || Sequence and Series || Real Analysis

Root Test for Convergence and Divergence || Sequence and Series || Real Analysis

📚 Master the Root Test for checking the convergence and divergence of infinite series! In this calculus tutorial, we break down exactly how to apply the Root Test, when to use it (hint: look for $n$-th powers), and how to interpret the results so you never get stuck on your exams.

The Root Test is one of the most powerful tools in Calculus 2 and Real Analysis. By the end of this video, you’ll know exactly how to handle radical limits and determine if a series converges absolutely, diverges, or if the test is inconclusive.
⏱️ Timestamps
0:00 Introduction to Root test
0:58 Basic idea - When to apply root test
1:20 Example 1
2::08 Example 2
5:21 Example 3 - For what value of x given series converges
🎯 𝗪𝗵𝗼 𝗜𝘀 𝗧𝗵𝗶𝘀 𝗩𝗶𝗱𝗲𝗼 𝗙𝗼𝗿?
• College/University Students taking Real Analysis or Calculus.
• Competitive Exam Aspirants (IIT-JAM, CSIR NET, GATE, etc.)

📌 Important Links :
• Real Analysis Complete Course - https://www.youtube.com/playlist?list=PL15h-I4HvELJprCmPWPey6Vv5E0ttxqPd
• Sequence and Series Playlist - https://www.youtube.com/playlist?list=PL15h-I4HvELLSGcN8QwS3ZHc_o1SJgNkS
• Infinite Series Playlist - https://www.youtube.com/playlist?list=PL15h-I4HvELIB3LSDwVaItN1YPT8DuDFi

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#roottest #infiniteseries #Calculus2 #universitymath #realanalysis #sequenceandseries

Видео Root Test for Convergence and Divergence || Sequence and Series || Real Analysis канала Ganitya