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1. The Taylor series for f(x)=x^3 at 1 is ∞∑n=0 cn(x−1)^n. Find the first few coefficients....

1. The Taylor series for f(x)=x^3 at 1 is ∞∑n=0 cn(x−1)^n.
Find the first few coefficients.
c0=   
c1=
c2=   
c3=

c4=  

2. Given the series:

∞∑k=0 (−1/6)^k
does this series converge or diverge?

  • diverges
  • converges

If the series converges, find the sum of the series:

∞∑k=0 (−1/6)^k=

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