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- Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+Find a power series for the function, centered at C and determine the interval of convergence (function is h(x) and C = 0).h(x)=1/(1-5x) Also see the attached picture of the problem.The series converges at x = -1 and diverges at x = -10. About which value of x is the series centred? Find the range of values in which the radius of convergence R is known to lie.
- What is the radius of convergence of F(3x) if F(x) is a power series with radius of convergence R = 12?If a power series cn(x + 3)^n converges conditionally when x = 3, find the radius of convergence. Explain your answer.Find the series radius and interval of convergence. For what values of x does the series converge absolutely and for what value converge conditionally?