Complex power series Q: Expand log (1-z) when ||<1 using Taylor series.

11. Practice similar Help me with this By recognizing the series sum = −((3/4)) – as a Taylor series evaluated at a particular value of x, find the sum of the convergent series. ((3/4))² ((3/4))³ 2 ▶ ((3/4))" n

Find the Taylor series for f centered at 9 if (-1)"n! 7"(n + 1) f(n)(9) = (-1)" (x- 9)" 7" (n + 1) 00 n = 0 What is the radius of convergence R of the Taylor series? 1 R 7 II

Let f(x)=- [a] Use the definition of a Taylor Series (section 11.10 equation 6) 1 to find the Taylor Series of f about x = in sigma notation, 4 with exponents and coefficients completely simplified as shown in lecture. Find the endpoints of the interval of convergence of the series in [a]. You do not need to determine if the series converges at those endpoints. [b]