Expand the given function in a Taylor series centered at the indicated point zo. Give the radius of convergence R of each series. a. f(z) ==,20 = 1 + i ,Zo z b. f(z) = ,Zo ²0 = -i 1+z Z-1 c. f(z) == ¹,²0 = 1 Zo 3-z

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Chapter2: Second-order Linear Odes
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2. Expand the given function in a Taylor series centered at the indicated point zo. Give the radius of
convergence R of each series.
a. f(z) = ²,²0 = 1 +i
b. f(z) = ₂,²0 = -i
Zo
1+z
Z-1
c. f(z) == ¹,²0 = 1
3-Z
Transcribed Image Text:2. Expand the given function in a Taylor series centered at the indicated point zo. Give the radius of convergence R of each series. a. f(z) = ²,²0 = 1 +i b. f(z) = ₂,²0 = -i Zo 1+z Z-1 c. f(z) == ¹,²0 = 1 3-Z
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