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![Clear selection
Which of the following is a possible Taylor series expansion at x = 4?
O E (n^2/(3n+1)) x^n
O Z [(2n-1)/(3n+2)] x^(4n)
O E (4/n)(x- 4)^n
O E [(-1)^n]/6n (x + 4)^n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20fc236f-79a0-42a1-916c-478c99f55ab3%2F53a0f5d8-0704-45a3-b4a4-50bf86279ebc%2F37viov7_processed.jpeg&w=3840&q=75)
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- Why the taylor series expansion (5+6x)^19 only has a finite number of terms? a=1 Explain thoroughly.Find a Taylor series expansion around x = 2 for f(x) = ln xGive the Taylor series expansion of f(x) = ln(4-x) at the center a=3. Determine its interval of convergence. Approximate ln(3) using the first 7 terms of the expansion.
- Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.Determine the Taylor series for f(x) = 2x3 - x2 centered at x = -1.Determine how many terms are needed to compute:ln 1.1 with error less than (1/2)×10^(−8) using alternating series theorem and Taylor series of ln(1 + x) about x = 0.