5. Find a value of x such that 1 = 3. Plug this into ao + a₁x + a₂x² + a3x³ + a4x² + a5x5 + α6x6 + a7x7 to estimate In (3) (use your calculator, round to 4 decimal places). Hint: The estimate is within 1000 of the actual value.
5. Find a value of x such that 1 = 3. Plug this into ao + a₁x + a₂x² + a3x³ + a4x² + a5x5 + α6x6 + a7x7 to estimate In (3) (use your calculator, round to 4 decimal places). Hint: The estimate is within 1000 of the actual value.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Problem 5:**
Find a value of \( x \) such that
\[
\frac{1+x}{1-x} = 3.
\]
Plug this \( x \) into
\[
a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 + a_5 x^5 + a_6 x^6 + a_7 x^7
\]
to estimate \(\ln(3)\) (use your calculator, round to 4 decimal places). Hint: The estimate is within \(\frac{1}{1000}\) of the actual value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2F4c57723a-6d94-4272-8738-b18063314c69%2Falaottc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 5:**
Find a value of \( x \) such that
\[
\frac{1+x}{1-x} = 3.
\]
Plug this \( x \) into
\[
a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 + a_5 x^5 + a_6 x^6 + a_7 x^7
\]
to estimate \(\ln(3)\) (use your calculator, round to 4 decimal places). Hint: The estimate is within \(\frac{1}{1000}\) of the actual value.
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