Clifland
2021-01-04
Answered

Does the attached series converge or diverge? Note: it is a complex series and not a real series. Ive

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Laaibah Pitt

Answered 2021-01-05
Author has **98** answers

The given series is

Let us solve the given problem by the help of the Ratio test.

The Ratio test is,

For a series

Then, the series is convergent if

the series is divergent if

And if

Here

So,

=-i,(as

Therefore,

So, the given series is convergent.

ANSWER: The given series is convergent.

Jeffrey Jordon

Answered 2021-12-16
Author has **2313** answers

Answer is given below (on video)

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${x}^{2}+{y}^{2}={R}^{2}$ where $R$ is a constant.

I know to use implicit differentiation, though I have a question. When I derive ${R}^{2}$, do I obtain $2R$ or 0?

Additionally, deriving ${y}^{2}$ with respect to x yields $2y(dy/dx)$? This is different from a partial derivative?

Thanks!

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