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1) Suppose that p(x)=∞∑n=0 anx^n converges on (−1, 1], find the internal of convergence of p(8x−5)....

1) Suppose that p(x)=∞∑n=0 anx^n converges on (−1, 1], find the internal of convergence of p(8x−5).

x=

to x=

2)Given that 11−x=∞∑n=0xn11-x=∑n=0∞x^n with convergence in (−1, 1), find the power series for 1/9−x with center 3.

∞∑n=0

Identify its interval of convergence. The series is convergent from

x=

to x=

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