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1
Lion Hunting and Other Mathematical Pursuits: A Collection ...
If the Maclaurin series of/ and g converge for \:\ < r and g(z) # 0 for 0 ^ \z\ < r, then
if the Maclaurin series for/ is divided by the Maclaurin series for g by long division
(as if the series were polynomials), the resulting series represents f/g for \z\<r.
Ralph P. Boas, Gerald L. Alexanderson, Dale H. Mugler, 1995
2
Calculus Single Variable
(a) Use the Maclaurin series for 1/(1 − x) to find the Maclaurin series for 1/(a − x),
where a = 0, and state the radius of convergence of the series. (b) Use the
binomial series for 1/(1 + x)2 obtained in Example 4 of Section 9.9 to find the first
four ...
Howard Anton, Irl C. Bivens, Stephen Davis, 2012
3
Maths for Chemists: Power
series, complex numbers and linear ...
For example, the Maclaurin series for the function e~A can be found as in
Problem 1.5; however, an alternative, and much less labour intensive, approach
involves writing X = — .Y and then using the existing series for ev, with X
replacing .v.
Martin Cockett, Graham Doggett, 2003
Write down the Maclaurin series for the functions in Exercises I -4. 1. sin 3x 2.
cos4x 3. cosx -I- e~2x 4. sin 2x — e"4' Find the terms through x3 in the Taylor
series at x0 = 1 for the functions in Exercises 5-8. 5. 1/(1 + x2 + x4) 6. 1/^2- x2 7. e
* 8.
Jerold Marsden, Alan Weinstein, 1985
5
Calculus: The Language of Change
For each of the series below, use the complex plane to find a bound for the radius
of convergence — the distance from the base of the series (0, for the Maclaurin
series) to the nearest number (real or complex) for which the function is ...
David W. Cohen, James M. Henle, 2005
6
Higher Engineering Mathematics
Develop a series for sinhx using Maclaurin's series. f(x)=sinhx f(0)=sinh0= e0−e−
02=0 f(x)= coshx f(0)= cosh0 = e0+e−02 = 1 f(x)=sinhx f(0)=sinh0=0 f(x)=coshx f(0
)=cosh0= 1 fiv(x)= sinhx fiv(0)= sinh0 = 0 fv(x)=coshx fv(0)=cosh0=1 ...
7
Calculus of a Single Variable: Early Transcendental Functions
16. fx coshx fx e2x Using a Binomial Series In Exercises 17–26, use the binomial
series to find the Maclaurin series for the function. 17. 18. 19. 20. 21. 22. f x 12x3
f x 14x2 f x 11x2 f x 11x fx 11x4 fx 11x2 23. 25. Finding a Maclaurin Series In ...
Ron Larson, Bruce Edwards, 2014
8
Understanding Engineering Mathematics
Now try the following Practice Exercise Practice Exercise 97 Further problems on
Maclaurin's series (answers on page 1118) 1. Determine the first four terms of the
power series for sin 2x using Maclaurin's series. 2. Use Maclaurin's series to ...
9
A First Course in Complex Analysis with Applications
What is the radius of convergence R of the Maclaurin series in Problem 23? 30.
What is the radius of convergence R of the Maclaurin series in Problem 24? In
Problems 31 and 32, expand the given function in Taylor series centered at each
of ...
Dennis G. Zill, Patrick D. Shanahan, 2011
What is the radius of convergence R of the Maclaurin series in Problem 23? 30.
What is the radius of convergence R of the Maclaurin series in Problem 24? In
Problems 31 and 32, expand the given function in Taylor series centered at each
of ...
Dennis G. Zill, Patrick D. Shanahan, 2013
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «MACLAURIN SERIES»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
Maclaurin series w wiadomościach.
Yoga day is a good beginning, but only a beginning
... which the West has dubbed the Taylor and Maclaurin series. Similarly, astronomy staples such as the constellations were likely Indian concepts, but they have ... «The Northlines, Cze 15»
DTU students boycott World Cup, toil super hard for mid-sems
... asked about his views on the popular 'Mauka Mauka' ad series got heavily confused and began explaining the Maclaurin series theorem. «Firstpost, Lut 15»
Maclaurin series for reciprocal function
Maclaurin series for reciprocal function. Started by JohnnyCode, Oct 16 2014 06:12 AM. Old topic! Google, the last post of this topic is over 60 days old and at ... «GameDev.net, Paz 14»
'Kerala's contributions to Maths yet to get due attention'
Madhava, who was born in 1350, is thought to have conceived the infinite power series similar to the Maclaurin series around 1400, while it ... «The New Indian Express, Lut 13»
AP exams inspire Internet-age mischief among high schoolers …
This is a pun on the Taylor Series and Maclaurin Series, both of which are tested on Calculus BC, the more difficult of two AP Calculus exams. «New York Daily News, Cze 10»
