(– 4)" Consider the power series An(x + 6)" where An that is, the series n! n=0 (– 4)" (x + 6)" n! n=0 (a) What is the centre of the power series? An+1 (b) Evaluate lim An (c) What is the radius of convergence for the given power series? (Enter in a fraction or number rounded to three decimal places, oo for ∞, -0o for – o, or DNE.)

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Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

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A: According to question given that∑n=1∞(-10)n-114n

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Q: (x+ 2)" n . Find the interval of convergence of the power series n3" n=0 (A) [–1,5) (B) [–1,5] (C)…

A: Solution:- ∑n=0∞x+2nn 3n un=x+2nn 3nun+1=x+2n+1n+1 3n+1 limn→∞ unun+1=limn→∞ x+2nn3nn1+1n3n+1x+2n+1

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Q: Q 3 please

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A: This is a problem of series.

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