14a) 14b) f(x)= 2 4x-15 about the center x = 4 f(x) = ln(1+5x¹) about the center x = 0
14a) 14b) f(x)= 2 4x-15 about the center x = 4 f(x) = ln(1+5x¹) about the center x = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Find a power series representation for the following and determine the interval of convergence.
![### Practice Problems:
**14a)** Find the Taylor Series for the function \[ f(x) = \frac{2}{4x - 15} \] about the center \( x = 4 \).
**14b)** Determine the Taylor Series for the function \[ f(x) = \ln(1 + 5x^4) \] about the center \( x = 0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5456dffd-fe15-479d-aec2-2e26d1f45f3e%2Fb91bafa5-564b-4f7a-b7cf-ddc66b7ae1a7%2Ffh8y0h_processed.png&w=3840&q=75)
Transcribed Image Text:### Practice Problems:
**14a)** Find the Taylor Series for the function \[ f(x) = \frac{2}{4x - 15} \] about the center \( x = 4 \).
**14b)** Determine the Taylor Series for the function \[ f(x) = \ln(1 + 5x^4) \] about the center \( x = 0 \).
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