Find the Maclaurin series for the function. Use the table of power series for elementary functions shown
Question:
Find the Maclaurin series for the function. Use the table of power series for elementary functions shown below.
f(x) = sin 5x
Transcribed Image Text:
POWER SERIES FOR ELEMENTARY FUNCTIONS Function X 1 (x-1) + (x − 1)²(x - 1)³ + (x - 1)4+ (-1)^(x - 1)" + 1 + x = 1- x + x²-x³ + ₁²-1³ + . .. In x = (x - 1) et = 1 + x sin x = x - cos x = 1 + arctan xx 1³ 3! 2! + arcsin x = x + (x-1)2(x-1)³ (x - 1)4 + + ps 5! + 2 T 7! 4! 6! + + + 5! 9! 8! x² - ² + ²/² - / +²² 3 5 7 3. 13 1.3x³ 2.3 2.4.5 + + + + (-1)" x +.. (-1)"x²n+1 (2n + 1)! + +...+ (-1)" x²n (2n)! 1.3.5x7 2.4.6.7 (-1)²x²m+1 2n + 1 + k(k-1)(k 2)x³ (1+x) = 1 + kx + k(k-1)x² 2! 3! * The convergence at X = ±1 depends on the value of k. +... +. + (-1)²-¹(x-1)" n (2n)!x²n+1 (2^n!)²(2n + 1) +. + k(k-1). (k n! + .. n+1)x Interval of Convergence 0 < x < 2 -1 < x < 1 0 < x≤ 2 -∞0 < x < ∞ -∞0 < x < ∞ -∞0 < x < 0 -1 ≤ x ≤ 1 -1 ≤ x ≤ 1 -1 < x < 1*
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
To find the Maclaurin series for the function fx sin5x we ...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
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
Question Posted:
Students also viewed these Mathematics questions
-
Find the Maclaurin series for the function. Use the table of power series for elementary functions shown below. f(x) = e 6x POWER SERIES FOR ELEMENTARY FUNCTIONS Function X 1 (x-1) + (x 1)(x - 1) +...
-
Find the Maclaurin series for the function. Use the table of power series for elementary functions shown below: f(x) = cos 2 x POWER SERIES FOR ELEMENTARY FUNCTIONS Function X 1 (x-1) + (x - 1)(x -...
-
Find the Maclaurin series for the function. Use the table of power series for elementary functions shown below. g(x) = arctan 5x POWER SERIES FOR ELEMENTARY FUNCTIONS Function X 1 (x-1) + (x - 1)(x -...
-
Mr. Mo carries on business as a sole proprietor. The fiscal year end of the business is December 31. During 2020, its first year of operation, net business loss amounts to $72,000. In addition, the...
-
Provide two reasons why the cost of a security to a company differs from its required return in capital markets.
-
Create an Order data-entry screen, using the ORDERS and ORDER_LINE tables in the RobCor database. To do this, you can use frames and other advanced ColdFusion tags. Consult the online manual and...
-
Regents Supply completed the following selected transactions during the year: Requirements 1. Open T-accounts for Allowance for Uncollectible Accounts and Uncollectible Accounts Expense. These...
-
Selected comparative financial statements of Korbin Company follow. Required 1. Compute each year's current ratio. (Round ratio amounts to one decimal.) 2. Express the income statement data in...
-
1. Given the following system of linear equations: x-3x=-2 -3x+y+6=3 2x-2y+(a-4)=b-3 (a) Determine the conditions on a and b if (i) the system has no solutions (ii) the system has only one solution...
-
The continuous function f f is defined for 4x4 4 x 4 . The graph of f f , shown above, consists of two line segments and portions of three parabolas. The graph has horizontal tangents at x=12,...
-
Find the standard form of the equation of the ellipse with the given characteristics. Center: (0, 0) Focus: (5, 0) Vertex: (6, 0)
-
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (0, 3), (8, 3) Eccentricity: 3/4
-
Exactly how were the MPG and MPS in Table 21-4 computed? Illustrate by calculating MPG and MPS between points A and B. Explain why it must always be true that MPG + MPS = 1.
-
A gas is enclosed in a container fitted with a piston. The applied pressure is maintained at 581.3 kPa as the piston moves inward, which changes the volume of the gas from 5.462 104 m3 to 2.345 104...
-
Cite relevant arguments found in the Supreme Court ruling and your interpretation of the data to support your answers to the following questions in the form of a memo: 1) How does the provided data...
-
Prompt: RSF is 1 0 , 0 0 0 . GSF is 8 , 0 0 0 . Going in income is $ 1 0 0 / RSF growing 3 % per year. Going in expenses are $ 3 5 / GSF growing 1 . 5 % per year. Acquisition is made at a 5 . 5 % cap...
-
Company MU is a publicly listed renewable energy company with a credit rating of BBB.Currently , MU has 12 million shares outstanding with share price $10 and an equity beta of 1.8. MU can borrow at...
-
What guidelines should be followed when including attachments or links in business emails? Discuss how to reference and describe attachments within the email body to facilitate ease of access for the...
-
Graph the function f(x) = sin (/x) of Example 4 in the viewing rectangle [-1, 1], by [-1, 1]. Then zoom in toward the origin several times. Comment on the behavior of this function.
-
Frontland Advertising creates, plans, and handles advertising campaigns in a three-state area. Recently, Frontland had to replace an inexperienced office worker in charge of bookkeeping because of...
-
Find an equation in cylindrical coordinates for the equation given in rectangular coordinates. z = x + y - 11
-
Classify and sketch the quadric surface. Use a computer algebra system or a graphing utility to confirm your sketch. - 8x + 18y + 18z = 2
-
Find a unit vector in the direction of u = (2, 3, 5).
-
Success in business and in life requires the development of critical thinking skills. Critical thinking requires the ability to understand what someone is saying and then to ask specific questions...
-
A real estate company with 14 employees in the central office, 8 in the north office, and 6 in the south office has to lay off 7 employees. If they plan to lay off 4 from the central, 2 from the...
-
53e4 29x+80e -57x+11 Find the horizontal asymptotes of the curve y = 10e29x-39e-57x+18 Note: Give the exact answer but not the decimal approximation (for example, write 4/5 istead of 0.8). Answer:...
Study smarter with the SolutionInn App