Question

Entered Answer Preview 0.25 0.25 \( (-8.25,-7.75) \) \[ (-8.25,-7.75) \] At least one of the answers above is NOT correct. Consider the power series \[ \sum_{n=1}^{\infty} \frac{(-4)^{n}}{\sqrt{n}}(x+8)^{n} . \] Find the radius of convergence \( R \). If it is infinite, type "infinity" or "inf". Answer: \( R=0.25 \) What is the interval of convergence? Answer (in interval notation): \( (-8.25,-7.75) \)

          Entered
Answer Preview
0.25
0.25
\( (-8.25,-7.75) \)
\[
(-8.25,-7.75)
\]

At least one of the answers above is NOT correct.
Consider the power series
\[
\sum_{n=1}^{\infty} \frac{(-4)^{n}}{\sqrt{n}}(x+8)^{n} .
\]

Find the radius of convergence \( R \). If it is infinite, type "infinity" or "inf".
Answer: \( R=0.25 \)

What is the interval of convergence?
Answer (in interval notation): \( (-8.25,-7.75) \)

Entered
Answer Preview
0.25
0.25
(-8.25,-7.75)

(-8.25,-7.75)

At least one of the answers above is NOT correct.
Consider the power series

∑n=1^∞((-4)^n)/(√(n))(x+8)^n .

Find the radius of convergence R. If it is infinite, type "infinity" or "inf".
Answer: R=0.25

What is the interval of convergence?
Answer (in interval notation): (-8.25,-7.75)

Added by P V.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Keondre Parker

Step 1

The given power series is \(\sum_{n=1}^{\infty} \frac{(-4)^{n}}{\sqrt{n}}(x+8)^{n}\). The general term of this series is \(a_n = \frac{(-4)^{n}}{\sqrt{n}}(x+8)^{n}\). Show more…

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