# Calculus

Hello,I need some help with 5 exercises that I am attaching in this pdf document.Thanks
umkc_calc_ii___worksheet_iii.pdf

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MATH 220
Writing Assignment 3: Power Series
University of Missouri-Kansas City
Due Date: Wednesday, February 21
Instructions:
This assignment will ask you to use integration techniques learned in class to evaluate different integrals.
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.
Problems:
1. Use series to approximate the values of the integral below with an error of magnitude less than
10-8 .
Z
1
x sin(x3 ) dx
0
2. Find the first four nonzero terms in the Maclaurin series for the function below.
v
cos( x) + ln(cos(x))
3. Find the interval of convergence for the following power series.
8
X
(x + 2)k
k=1
2k ln(k)
4. Evaluate the following limit.
(1 + x)-2 –
lim
x?0
2×2
.
v
3
1 – 6x
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