00 Use the equation = E x" for |x| < 1 to expand the function - in a power series with center c = 0. 6-x n=0 (Use symbolic notation and fractions where needed.) 00 7 6 - x n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) x E

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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00
Use the equation
E x" for |x| < 1 to expand the function – in a power series with center c = 0.
6-x
n=0
(Use symbolic notation and fractions where needed.)
7
6 - x
n=0
Determine the interval of convergence.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for
infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is
open or closed.)
x E
Transcribed Image Text:00 Use the equation E x" for |x| < 1 to expand the function – in a power series with center c = 0. 6-x n=0 (Use symbolic notation and fractions where needed.) 7 6 - x n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[" or "]" depending on whether the interval is open or closed.) x E
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