Use Theorem 4 to determine the limit of the sequence. THEOREM 4 If f is continuous and
Question:
Use Theorem 4 to determine the limit of the sequence.
Transcribed Image Text:
THEOREM 4 If f is continuous and lim a,= L, then 11-0 lim f(an) = flim an) = f(L) In other words, we may pass a limit of a sequence inside a continuous function.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
We have 1 lim 4 lim 4 n n ...View the full answer
Answered By
Sufiyan Ahmed Tariq
I am a Chartered Accountant and an Associate Public & Finance Accountant. I also hold a bachelors of Commerce degree. I have over 8 years of experience in accounting, finance and auditing. Through out my career, I have worked with many leading multinational organisation.
I have helped a number of students in studies by teaching them key concepts of subjects like accounting, finance, corporate law and auditing. I help students understanding the complex situation by providing them daily life examples.
I can help you in the following subject / areas:
a) Accounting;
b) Finance;
c) Commerce;
d) Auditing; and
e) Corporate Law.
4.90+
7+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises 1-2, use Theorem 4 to determine the limit of the sequence 1. 2. 2n3 +1
-
Use Theorem 4 to determine the limit of the sequence. a n = tan 1 (e n ) THEOREM 4 If f is continuous and lim a, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may pass a limit of a...
-
Use Theorem 4 to determine the limit of the sequence. a n = e 4n/(3n+9) THEOREM 4 If f is continuous and lima, = L, then 11-0 lim f(an) = f(lim an) = f(L) In other words, we may pass a limit of a...
-
Given, R = 192 R = 22 C=2F C=4F (1) V www R www R R R C The time constants (in S) for the circuits I, II, III are respectively (A) 18, 8/9, 4 (C) 4, 8/9, 18 (II) (B) 18, 4, 8/9 (D) 8/9, 18, 4 R3 (III)
-
A stock is expected to pay a dividend of $0.50 at the end of the year (that is, D1 = 0.50), and it should continue to grow at a constant rate of 7% a year. If its required return is 12%, what is the...
-
Modify your query to include all students, regardless of whether they registered in Adv. Pastels, starting on October 1, 2015. Include, in this order, CustomerLastName, CustomerFirstName, Phone,...
-
2 Which other people should have been involved in developing a strategy?
-
At one time, Boeing closed a giant deal to acquire another manufacturer, McDonnell Douglas. Boeing paid for the acquisition by issuing shares of its own stock to the stockholders of McDonnell...
-
Cameron Street Barber Shop pays $35 per month for water for the first 8,000 gallons and $1.75 per thousand gallons above 8,000 gallons. Calculate the fotal water cost when the barber shop uses 7.000...
-
Let a n = F n+1 / F n , where {F n } is the Fibonacci sequence. The sequence {a n } has a limit. We do not prove this fact, but investigate the value of the limit in these exercises. Estimate to five...
-
Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges. y n = ne1 THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se- XIX quence an = f(n)...
-
For the stripping column shown in Figures 4-23A and 4-23C, show formally that the intersection of the bottom operating line and the feed line is at \(y_{D}\). In other words, solve for the...
-
Consider the following double loop and identify the dependence. Verify the dependence(s) by applying GCD test and Bounds test. Use the direction vector of (1, -1) corresponding to T on (5M) S. L1: do...
-
After discovering a vulnerability in the passwd utility, the Linux developers have decided that it is too dangerous to continue to run the utility as root (through setuid). Unfortunately, there's no...
-
Your supervisor comes to you and says, that as a company, you're facing multiple communication challenges. Since transitioning to a remote workforce, communication has been extremely poor....
-
You are developing an application that will be running on several hundred Amazon EC2 instances. The application on each instance will be required to reach out through a file system protocol...
-
What is the danger of mixing elements ("hybrid strategy") from both agile and lean SC strategies?
-
What are the six major mechanisms that can be used to increase the strength of a metal?
-
Archangel Corporation prepared the following variance report. Instructions Fill in the appropriate amounts or letters for the question marks in the report. ARCHANGEL CORPORATION Variance...
-
Two boats leave a port at the same time, one traveling west at 20 mi/hr and the other traveling southwest at 15 mi/hr. At what rate is the distance between them changing 30 min after they leave the...
-
Calculate the derivative of the following functions. y = log 10 x
-
a. Graph f with a graphing utility. b. Compute and graph f'. c. Verify that the zeros of f' correspond to points at which f has a horizontal tangent line. f(x) = (sec -1 x)/x on [1, )
-
Which of the following programs covers custodial care? A HMOs B Medicare Part B C PPOs D Medicare Part A E Medicaid
-
uppose a taxpayer has exhausted his lifetime exclusion amount and has $14 million. a. Assuming a flat 40% gift tax rate, what is the maximum amount a taxpayer can transfer to her daughter (and still...
-
Physical Units Method, Relative Sales Value Method Farleigh Petroleum, Inc., is a small company that acquires high - grade crude oil from low - volume production wells owned by individuals and small...
Study smarter with the SolutionInn App