Let To calculate lim n S n , show that and interpret S n as an approximating
Question:
Let
To calculate limn→∞ Sn, show that
and interpret Sn as an approximating sum of the integral
Transcribed Image Text:
Sn n³ 2² ... + (n − 1)² n³
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (10 reviews)
ANSWER To show that Sn 1n 1n2 2n2 n1n2 we can first expand the sum in Sn as follows S n 12n3 22n3 n1...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
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
-
Show that the error used in approximating S by Sn satisfies Where the notation is the same as in the discussion preceding Example 5? En2 f(x) dx n+1
-
(a) Let f(x) be an even function of x so that f(x) = f (-x). Show that a-a (x) dx = 2 a0 (x) dx. (Hint: Write the integral from -a to a as the sum of the integral from -a to 0 and the integral...
-
In Exercises write the integral as the sum of the integral of an odd function and the integral of an even function. Use this simplification to evaluate the integral. *TT/2 J-TT/2 (sin 4x + cos 4x) dx
-
To pick up the execution results, one can use the executeQuery() and executeUpdate() methods. The former returns an integer, and the latter returns a ResultSet.(True/False)
-
The following transactions took place during the rst two weeks of operations of Not So Taxing, Inc., a walk-in tax preparation service. Mar.2 Issued common stock of the corporation in exchange for...
-
The truck is to be used to transport the concrete column. If the column has a uniform weight of w (force/length), determine the equal placement a of the supports from the ends so that the absolute...
-
The following table presents the numbers of employees, by age group, who were promoted, or not promoted, in a sample drawn from a certain industry during the past year. Can you conclude that the...
-
Lets take our prototypes and some new displays, reports, and forms to create the final user interface, Anna says to Chip. Its about time, isnt it? replies Chip. He was all too aware of the importance...
-
What was the price/earnings ratio of the ten largest companies - by market capitalisation - on the ASX at the end of January 2020 and at Friday 20 March 2020? Do you think this ratio is relevant to...
-
A company believes that its demand for the next six months is as follows: The output per worker per month is 40 units. The per worker hiring and lay off costs are $2000 and $3000, respectively. There...
-
Find the areas of the regions enclosed by the curves and line. y = x, y = 1/x 2 , x = 2
-
How does the method of substitution work for definite integrals? Give examples.
-
In Problems 1724, write a formula to express the given relation. The area A of a triangle is one-half the product of the base b and the height h.
-
A political analyst would like to survey a sample of the registered voters in a county. The county has 47 election districts. How could the analyst use random numbers to obtain a cluster sample?
-
How can an anthropologist make a difference in the changing world of today? Or is the world in need of engineers and technicians who can invent new ways of solving problems? That is, how can the...
-
Consider a world without markets. a. Why is money not necessary in this world? b. Does specialization exist in this world? Explain. c. Is exchange a feature of this world and, if so, what role do you...
-
A tube bank uses an aligned arrangement of \(30-\mathrm{mm}\) diameter tubes with \(S_{T}=S_{L}=60 \mathrm{~mm}\) and a tube length of \(1 \mathrm{~m}\). There are 10 tube rows in the flow direction...
-
Your parents have phoned you to find out how things are going at college (translation: Do you need money?) and what you are studying. You tell them that you are learning about early hominids, the...
-
The flow rate f in m3/s of water through a particular pipe, as a function of the pressure drop p across the ends of the pipe (in N/m2) is given by f = 0.002p. Obtain a linear model of f as a function...
-
(a) Use integration by parts to show that (b) If f and g are inverse functions and f' is continuous, prove that (c) In the case where f and t are positive functions and b > a > 0, draw a diagram to...
-
Graph each equation of the system. Then solve the system to find the points of intersection. 3D 5 x + y? = 5 5
-
Graph each equation of the system. Then solve the system to find the points of intersection. x2 + y? = 10 10 y = x + 2
-
Graph each equation of the system. Then solve the system to find the points of intersection. S x + y = 4 y? x = 4 I3D
-
Ralox Pty Ltd ( Ralox ) is a stand - alone private company and has a distributable surplus of $ 1 million at 3 0 June 2 0 2 3 . Ralox lodged its tax return for the income year ended 3 0 June 2 0 2 3...
-
Sales Average operating assets Net operating income Minimum required rate of return Required: Division A $ 12,510,000 $ 3,127,500 $ 625,500 14% Division B $ 14,595,000 $ 7,297,500 $ 583,800 10%...
-
sunland zone corporation expeirenced variances: materials price $ 3 1 0 U , materials quanity $ 1 , 5 0 0 F , labor price $ 7 0 0 F , and total overhead $ 1 , 0 6 0 U . Sales revenue was $ 8 1 , 0 0...
Study smarter with the SolutionInn App