Series general term calculator

    • [DOC File]A function f(x) can be approximated using a polynomial Pn ...

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      Write the first four terms and the general term of the Taylor series expansion of f(x) about . Use the result from part (a) to find the first four terms and the general term of the series expansion about for . Use the series in part (b) to compute a number that differs from by less than 0.05. Justify your answer. 4.

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    • [DOC File]Power Series: - mrbermel

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      Write the first four terms and the general term of the Taylor series expansion of f(x) about . Use the result from part (a) to find the first four terms and the general term of the series expansion about for . Use the series in part (b) to compute a number that differs from by less than 0.05. Justify your answer. 4.

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    • [DOC File]CALCULUS BC

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      (b) Use your answer to (a) to find the first four nonzero terms and the general term for (c) Use your answer to (b) to approximate , using Justify your answer. _____ For problems 5 – 8, write the first four nonzero terms and the general term. 4. Maclaurin series for . 5. Power series for centered at x = 0. 6. Taylor series for . 7.

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    • [DOC File]AP Calculus Free-Response Questions

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      428. The Maclaurin series for the function f is given by. f(x) = on its interval of convergence. a. Find the interval of convergence of the Maclaurin series for f. Justify your answer. b. Find the first four terms and the general term for the Maclaurin series for f ‘ (x). c. Use the Maclaurin series you found in part (b) to find the value of ...

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    • [DOC File]BC Calc Extended Response – Taylor and Power Series

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      (a) Find the first four terms and the general term of the series. (b) For what values of x does the series converge? (c) If , find the value of f’(1). 8. (1984 BC 4) SCIENTIFIC CALCULATOR. Let f be the function defined by for all values or x for which the series converges. (a) Find the radius of convergence of the series.

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    • [DOC File]Taylor Polynomials and Approximations

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      general term. Ex. Find a Maclaurin series for Find the first four nonzero terms and the. general term. Manipulation Techniques, Day 2. Before we try to find a power series by recognizing it as the sum of a geometric power series, let’s do a quick review of geometric series. Geometric series are formed by multiplying by a common ratio r.

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    • [DOC File]Instructor's Guide for Math 110 Textbook: College Algebra ...

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      5.3 Arithmetic Sequences and Series (1.5 class periods) Key Concepts: Definition of an arithmetic sequence, finding the nth term of an arithmetic sequence, the relationship between arithmetic sequences and linear functions, finding the sum of a finite arithmetic sequence.

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    • [DOC File]Geometry name

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      10. Write the general term of the sequence. (Assume the sequence begins at n = 1 and find the formula for the nth element.) 11. Write the general term of the sequence. 12. Write the general term of the sequence. 13. Evaluate. 14. Evaluate. 15. Evaluate. 16. Evaluate. . Use your calculator or your brain. Not paper! For 17-19, do not find ...

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    • [DOC File]MR. G's Math Page - Course Information

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      On problem 2, find a Taylor series for centered at the given value of c. Give the first four nonzero terms and the general term for the series. 2. _____ On problem 3 - 4, find a Taylor series for centered at the given value of c. Give the first four nonzero terms. ... Use your calculator …

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    • [DOC File]Sequences and Series**

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      31. (a) Write the first four terms and the general term of the Taylor Series generated by . (b) Use the results from part (a) to write the first four terms and general term for . 32. . (a) Write the first four terms and the general term of the Taylor Series generated by . (b) What is the interval of convergence of the series found in part (a).

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