Use substitution (as in Example 4) to find the Taylor series at x = 0 of the
Question:
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions.e-x/2
Transcribed Image Text:
EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given function using power series operations. (b) e cos x (a) (2x (2x + x cos x) (a) (2x (2x + x cos x) = (b) e cos x = = 2 = 1 + x + 2 1 x + X 3.x 3 3! = (¹ + x + — + 1 x³ 3 + + 6 4! x5 3.4! x2k (2k)! + (-1). = 1 ¹ + x + £ + § + ¾ + · · · ) · ( ¹ - # - # ----) 1 2! 3! 4! 4! + 72 + + - - -) - ( ₁ ++ ++) 3! 4! 2!2! 2!3! + +6 214! کر +
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
To find the Taylor series at x 0 of the function fx ex2 we can use substi...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Find x1 and x2 in Problem 2 2 2 2
-
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions. EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given function using power...
-
Use substitution (as in Example 4) to find the Taylor series at x = 0 of the functions. tan -1 (3x 4 ) EXAMPLE 4 Using known series, find the first few terms of the Taylor series for the given...
-
Given the definition of the radian angle: S l Where [s] = m, [4] = m What are the dimensions of angles? A. No way to know B. meters, m C. 1 (or no units/dimensions) D. seconds, S E. kilograms, kg
-
Perkins Company acquired 100% of Schultz Company on January 1, 2010, for $161,500. On December 31, 2010, the companies prepared the following trial balances: Required: A. What method is being used by...
-
Josh Ritchey has just been hired as a cost engineer by a large airlines company. Josh's first idea is to quit giving complimentary cocktails, wine, and beer to the international flying public. He...
-
A large MNE in the cookware industry was having difficulties maintaining its market share due to a number of mergers among other competing firms in the industry. The MNE, with corporate headquarters...
-
Innerscape Interiors is owned and operated by Gina Kissel, an interior decorator. In the ledger of Innerscape Interiors, the first digit of the account number indicates its major account...
-
Adger Corporation is a service company that measures its output based on the number of customers served. The company provided the following fixed and variable cost estimates that it uses for...
-
Your organization, located in Manitoba, will be enhancing the group benefits plan offered to employees in two months by adding accidental death and dismemberment (AD&D) coverage and vision care...
-
Use the Comparison Test to determine if each series converges or diverges. n 1 n=int + 2 2
-
Find a formula for the nth partial sum of each series and use it to find the series sum if the series converges. 9 + 100 9 + 100 9 100 + . + 9 100n + ..
-
Solae, a U.S. limited liability company with its principal place of business in St. Louis, Missouri, had sold soy lecithin to Hershey Canada, Inc., a Canadian corporation with its primary place of...
-
I bought my Peloton when it had a fair value of $ 2 , 4 7 5 . Peloton offered me the ability to pay $ 6 9 / mo for 3 6 months instead of paying upfront. I took it . What was my liability the day I...
-
Find the total capacitance (in F) of this combination of series and parallel capacitors shown below. 6.5 F 14 F 0.80 F
-
What is the volume of a lead ball at 23C if the ball's volume at 60C is 30 cm? Take the coefficient of volume expansion of lead to be 6.0 10-5/C.
-
A wheel rotating with a constant angular acceleration turns through 10 revolutions dur- ing a 3 s time interval. Its angular velocity at the end of this interval is 12 rad/s. What is the angular...
-
Problem 1. Jennifer sits in a Ferris wheel that is rotating at a constant frequency, and Jennifer moves at constant speed 9 m/s. At the highest point of her circular path, the upward normal force the...
-
Describe the process for incorporating a company.
-
An interest bearing promissory note for 90 days at 5.6% p.a. has a face value of $120,000. If the note is discounted 20 days after the issue date at a rate of 6.8% p.a., calculate the amount of...
-
Find the Jacobian of the transformation. x = s cos t, y = s sin t
-
Find the Jacobian of the transformation. x = pe q , y = qe p
-
Find the Jacobian of the transformation. x = uv, y = vw, z = wu
-
Income Method (Value = Expected annual benefit stream/Required rate of return) by estimating your free cash flow and capitalization rate (Discount rate - Growth) (Use the following assumptions in...
-
1- LEMAY HOMETOWN LUMBER COMPANY LIMITEDIn March of 2016, Roseanne Chang, vice president of the Eastern Ontario Region of the Dominion Bank of Canada, was reviewing the file of Lemay Ho . write 1...
-
Paul, an associate and not a partner, worked as an accountant for a very large accounting firm, called Griffen and Griffen LLP for the last 10 years. When he signed his contract of employment with...
Study smarter with the SolutionInn App