ind the interval of convergence for the given power series. --------------------

Question

ind the interval of convergence for the given power series.

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Find all the values of x such that the given series would converge.

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Find all the values of x such that the given series would converge.

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Find all the values of x such that the given series would converge.

The series is convergent

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Find all the values of x such that the given series would converge.

Explanation / Answer

(i) for first power series it diverge at x=-4 and converge at x=8,

(ii) for second power series it converges for both end points,

(iii) for third power series the series diverge at x=0 and converge at x=8,

(iv) for fourth power series it diverges at x=-11 and converges at x=11,

(v) for fifth power series it diverges at x=-1/5 and converges at x=1/5.

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