5. Find a value of ¤ such that 1 = 3. Plug this ä into ao + ª₁x + a²x² + A3x³ + a4xª + a5x5 + α6x6 + a7x² to estimate In (3) (use your calculator, round to 4 decimal places). Hint: The estimate is within of the actual value. un 1000
5. Find a value of ¤ such that 1 = 3. Plug this ä into ao + ª₁x + a²x² + A3x³ + a4xª + a5x5 + α6x6 + a7x² to estimate In (3) (use your calculator, round to 4 decimal places). Hint: The estimate is within of the actual value. un 1000
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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![### 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.
### Problem 6
What does your calculator give for \(\ln(3)\)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79599c56-a340-49a0-b0ff-829b3947a798%2F9f3a4f7d-573d-42c7-9dcf-4c5d8d6ffb00%2Fzu4w0h_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.
### Problem 6
What does your calculator give for \(\ln(3)\)?
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