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Find the interval of convergence of the series

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Reference no: EM131122462

1. Find the series radius of convergence.

n=1∑∞(x - 6)n/(5n)!

2. Find the interval of convergence of the series.

n=0∑∞(x - 4)2n/16n

3. For what values of x does the series converge absolutely?

n=1∑∞((-1)n+1 (x + 4)n/n10n)

4. For what values of x does the series converge conditionally?

n=1∑∞((-1)n+1 (x + 10)n/n7n)

5. Find the sum of the series as a function of x.

n=0∑∞(x2 + 8/6)n

6. Find the Taylor polynomial of order 3 generated by f at a.

f(x) = 1/7 - x , a = 1

7. Find the Maclaurin series for the given function.

cos 5x

8. Find the Taylor series generated by f at x = a.

f(x) = x4 - 5x2 + 10x + 3, a = -4

Reference no: EM131122462

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