In this lesson, we will learn how to determine if a series is convergent or divergent using the root test.
Students will be able to
Q1:
Consider the series ∞𝑎, where 𝑎=𝑛+𝑛−𝑛+33𝑛+6𝑛+1.
Calculate lim→∞|𝑎|.
Hence, determine whether the series converges or diverges.
Q2:
Consider the series ∞𝑎, where 𝑎=(𝑛+1)6.
Calculate lim→∞|𝑎|.
Q3:
A series ∞𝑎 satisfies lim→∞|𝑎|=1.
What can we conclude about the convergence of the series?
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