1 Given that = 1 x Σ n= n x with convergence in (-1, 1), x7 find the power series for with center 0. 1+9x7 n=0 Identify its interval of convergence. The series is convergent from x = , left end included (enter Y or N): to x = , right end included (enter Y or N):

Find the interval of convergence of the power series: (-3x-4)"

Consider the series (-1)"(3x+6)". Find the series radius and interval of convergence, n=0 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). A BIUS Paragraph Arial 14px II !!!

Represent the function 3ln(8−x) as a power series (Maclaurin series) What is the radius of convergence?

CO Write nCnxn+2 + (n- 1)Gx"-1 as one power series. n=0 n=1

The function f(x) = (10x^2)/(1 / 2x)^2 is represented as a power series. Find c1, c2, c3, c4, c5 and find the radius of convergence R for the series.

Find the radius of convergence, R, of the series. Σ n = 0 R (-1)^_x³n (2n)! Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

Find the radius of convergence, R, of the series. E(-1)^_x3n n = 0 (2n)! R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)

Suppose that Cnxn converges when x = -4 and diverges when x = 6. What can be said about the convergence or divergence of the following series? n = 0 (a) When compared to the original series, we see that x = here. Since the original series: ---Select--- ifor that particular value of x, we know that this series ---Select--- (b) When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series ---Select--- ---Select-- (c) Cn(-2)" n= 0 When compared to the original series, we see that x = here. Since the original series for that particular value of x, we know that this series ---Select--- ---Select--- (d) (-1)"C,9 When compared to the original series, we see that x = here. Since the original series ---Select- for that particular value of x, we know that this series ---Select---