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Investigate the convergence or divergence of the series. Justify your answer. E (3)/(2n-n)

Investigate the convergence or divergence of the series. Justify your answer. E (3)/(2n-n)

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Answer #1

Given Series is-

To check the convergence of divergence of this series we will use the following Direct Comparison Test-

If

are two series such that -

Then,

Now we have

Let ,

Then Clearly ,

And the series,

is a GP series , ( Geometric Series) with

And a Geometric series with common ratio greater than 1 is divergent

So by Comparison test Stated above the series

.

Answer.

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