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3. Note that , = 1 +() a) Use these equalities to find a power series for , centered at a = 4. For which a does this power series converge? b) Generate a similar string of equalities and find a power series for centered at x = -2. For which x does this power series converge?

3. Note that , = 1 +() a) Use these equalities to find a power series for , centered at a = 4. For which a does this power series converge? b) Generate a similar string of equalities and find a power series for centered at x = -2. For which x does this power series converge?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Note that 근= 3--4 1+() a) Use these equalities to find a power series for centered at x = 4. For which x does this power series converge? b) Generate a similar string of equalities and find a power series for centered at x = -2. For which x 1–x does this power series converge? 4. Find the Taylor series of f(x) = + centered at a = 4.
Transcribed Image Text:3. Note that 근= 3--4 1+() a) Use these equalities to find a power series for centered at x = 4. For which x does this power series converge? b) Generate a similar string of equalities and find a power series for centered at x = -2. For which x 1–x does this power series converge? 4. Find the Taylor series of f(x) = + centered at a = 4.
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