Use substitution to find the Taylor series at x = 0 of the function In (1+8x°). What is the general expression for the nth term in the Taylor series at x= 0 for In (1+8x°)?
Use substitution to find the Taylor series at x = 0 of the function In (1+8x°). What is the general expression for the nth term in the Taylor series at x= 0 for In (1+8x°)?
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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
Transcribed Image Text:**Problem Statement:**
Use substitution to find the Taylor series at \( x = 0 \) of the function \( \ln \left( 1 + 8x^6 \right) \).
**Question:**
What is the general expression for the nth term in the Taylor series at \( x = 0 \) for \( \ln \left( 1 + 8x^6 \right) \)?
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