Hello,I need some help with 5 exercises that I am attaching in this pdf document.Thanks
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Writing Assignment 3: Power Series
University of Missouri-Kansas City
Due Date: Wednesday, February 21
This assignment will ask you to use integration techniques learned in class to evaluate different integrals.
Write your solutions on a separate page and attach it to this page. Your answers must be clear and you
must clearly indicate your final answer. You may work with another student. However, your solution must
be in your own handwriting and in your own words. DO NOT COPY OFF YOUR PARTNER(S). This
assignment is due Thursday, April 12, 2018.
1. Use series to approximate the values of the integral below with an error of magnitude less than
x sin(x3 ) dx
2. Find the first four nonzero terms in the Maclaurin series for the function below.
cos( x) + ln(cos(x))
3. Find the interval of convergence for the following power series.
(x + 2)k
4. Evaluate the following limit.
(1 + x)-2 –
1 – 6x
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