Interval of convergence calculator
[DOC File]Estimating pi - Iowa State University
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The calculator is selecting random x-values between 0 and 1 and random y-values between 0 and 1. The calculator is then going to count the number of times a point is in the region bounded by the first quadrant of the x-y plane and a circle centered at the origin with a radius of 1. Students are asked to run 10 trials of size 50 on their calculator.
[DOCX File]www.jessamine.k12.ky.us
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The calculator will be an integral part of discovering and verifying the information generated by calculus procedures and tests. Each student will have a TI-83or84 graphing calculator to use at school and at home. DESCRITION . OF COURSE TIMELINE
[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) 3”(5” index card of notes Trigonometry formulas handout. ... State and prove divergence or convergence for each of the following series. Find the radius and interval of convergence of the following power series. For the series , use the integral test remainder approximation to find a value of N that will ensure ...
[DOC File]BC Calc Extended Response – Taylor and Power Series
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(b) Justify the interval of convergence is . 5. (1979 BC 4) NO CALCULATOR. Let f be the function defined by . (a) Write the first four terms and the general term of the Taylor series expansion of f(x) about x = 0. (b) What is the interval of convergence for the series found in part (a)? Show your method. (c) Find the value or f at .
[DOC File]2006 AP Calculus AB – Part A (with calculator) - Solutions
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2006 AP Calculus BC – Part B (no calculator) – Solutions (a) Using the Ratio Test (absolute convergence), we obtain: < 1 convergence for . Testing the endpoints: For x = -1, we have . and For x = 1, we have . Hence the interval of convergence is just: (i) From each Taylor series for f …
[DOC File]TEST 1
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Find the radius of convergence and interval of convergence of series . Find a power series representation of the function and determine interval of convergence. a) b) Find the Maclaurin series of . Integrate by power series representation: Eliminate the parameter to find a Cartesian representation of . Also sketch the curve. Bonus question
[DOC File]AP Calculus AB and BC
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Students are required to get a calculator program (that is easier to use than the one built into the calculator). This is a flipped lesson. ... Radius and Beginning Interval of Convergence . Including ratio and nth root tests. Testing Convergence at Endpoints . This section contains the brunt of the chapter. Alternating series.
[DOC File]CALCULUS BC
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Use your calculator only on 4(c), 10, 15, and 16. find the radius and interval of convergence. 1. Find the radius and interval of convergence of _____ 2. (a) Find the interval of convergence for (b) Write the first four nonzero terms and the general term for , and find its. interval of convergence. ...
Chapter 1: Limits and Their Properties
• Taylor polynomials and approximations: introduction using the graphing calculator • Power series and radius and interval of convergence • Taylor and Maclaurin series for a given function • Maclaurin series for sin x, cos x, e^x, and 1/(1-x)
[DOC File]Sequences and Series**
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Given the series , find the interval of convergence and the radius of convergence. Use the Ratio Test. Find the limit. Set the absolute value of the limit less than 1. We still need to check the endpoints of the interval for convergence. We substitute these values into the series and check for convergence. Case 1. Check right endpoint x = 7.
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