Express the function as the sum of a power series by first using partial fractions. f(x) = 8/(x2 − 2x − 15) f(x) = sum n=0 to infinit Find the interval of convergence. (Enter your answer using interval notation.)
Express the function as the sum of a power series by first using partial fractions.
f(x) = 8/(x2 − 2x − 15)
f(x) = sum n=0 to infinit
Find the interval of convergence. (Enter your answer using interval notation.)
(a) Use differentiation to find a power series representation for
f(x) = 1/(9 + x)2
f(x)= sum n=0 to infinit
What is the radius of convergence, R?
R =
(b) Use part (a) to find a power series for
f(x) = 1/(9 + x)3
f(x) = sum n=0 to infinit
What is the radius of convergence, R?
R =
(c) Use part (b) to find a power series for
f(x) = x^2/(9 + x)3
f(x) = sum n=0 to infinit
What is the radius of convergence, R?
Find a power series representation for the function.
f(x) = ln(3 − x)
f(x) = ln(3)- sum n=1 to infinit
Determine the radius of convergence, R.
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