Consider the function g(x) = (1 + 1/x) x + a . Show that if 0
Question:
Consider the function g(x) = (1 + 1/x)x + a. Show that if 0 ≤ a < 12 , then g(x) → e from below as x → ∞; if 1/2 ≤ a < 1, then g(x) → e from above as x →∞.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 78% (14 reviews)
First observe that Therefore It suffices to determine whether ln gx 1 is positive or negative ...View the full answer
Answered By
Aysha Ali
my name is ayesha ali. i have done my matriculation in science topics with a+ . then i got admission in the field of computer science and technology in punjab college, lahore. i have passed my final examination of college with a+ also. after that, i got admission in the biggest university of pakistan which is university of the punjab. i am studying business and information technology in my university. i always stand first in my class. i am very brilliant client. my experts always appreciate my work. my projects are very popular in my university because i always complete my work with extreme devotion. i have a great knowledge about all major science topics. science topics always remain my favorite topics. i am also a home expert. i teach many clients at my home ranging from pre-school level to university level. my clients always show excellent result. i am expert in writing essays, reports, speeches, researches and all type of projects. i also have a vast knowledge about business, marketing, cost accounting and finance. i am also expert in making presentations on powerpoint and microsoft word. if you need any sort of help in any topic, please dont hesitate to consult with me. i will provide you the best work at a very reasonable price. i am quality oriented and i have 5 year experience in the following field.
matriculation in science topics; inter in computer science; bachelors in business and information technology
_embed src=http://www.clocklink.com/clocks/0018-orange.swf?timezone=usa_albany& width=200 height=200 wmode=transparent type=application/x-shockwave-flash_
4.40+
11+ Reviews
14+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Consider the function G(x) = «x0 f (t) dt, where f(t) oscillates about the line y = 2 over the r-region [0, 101 and is given by Figure 10. (a) At what values of x over this region do the local...
-
Consider the function g, which is given in terms of a definite integral with a variable upper limit. a. Graph the integrand. b. Calculate g'(x). c. Graph g, showing all your work and reasoning. sin?...
-
Consider the function g, which is given in terms of a definite integral with a variable upper limit. a. Graph the integrand. b. Calculate g'(x). c. Graph g, showing all your work and reasoning. (1 +...
-
You are asked to evaluate the following two projects for Boring Corporation using the NPV method combined with the PI approach, which project would you select? Use a discount rate of 10 percent....
-
During 2014, Raines Umbrella Corp. had sales of $675,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $435,000, $85,000, and $125,000, respectively. In...
-
Event A: Randomly select a male psychology major. Event B: Randomly select a psychology major who is 20 years old. Determine whether the events are mutually exclusive. Explain your reasoning.
-
Derive an expression for the heat loss conductance \(U_{c}\) for a flat-plate collector in which convection and conductance are completely eliminated in the air layers by use of a hard vacuum.
-
Kenoly Corporation owns a patent that has a carrying amount of $300,000. Kenoly expects future net cash flows from this patent to total $210,000. The fair value of the patent is $110,000. Prepare...
-
5) Megan and four of her friends plan to go for a long drive. She buys 12 bottles of frappe and a few bottles of orange juice from a supermarket. The total number of bottles they have are four times...
-
1. Assume that U.S. and Argentine investors require a real return of 2 percent. If the U.S. nominal interest rate is 5 percent, and Argentina's nominal interest rate is 7 percent, then according to...
-
Find the intervals on which f is increasing and decreasing. Superimpose the graphs of f and f' to verify your work. f(x) = x 2 ln x 2 + 1
-
The graph of f' on the interval 3-3, 24 is shown in the figure. a. On what interval(s) is f increasing? Decreasing? b. Find the critical points of f. Which critical points correspond to local maxima?...
-
The half-life of a radioactive isotope is 140 d. How many days would it take for the decay rate of a sample of this isotope to fall to one-fourth of its initial value?
-
Recast the reported cash flow statement to a 'standardised' cash flow statement for Rossi Ltd to perform cash flow analysis. The following is the cash flow statement of Rossi Ltd for the year ended...
-
Below are balance sheet and income statement of GLORY Ltd, a car manufacturing business. All amounts are in dollars. The statutory tax rate is 30%. Assets Operating Cash Cash equivalents Accounts...
-
n x(n) Given is a signal x(n) in tabular format: -2 0 -1 1 0 -1 1 2 2 0 3 0 Assume x(n) is 0 for other values of n not specified in the table. a) Sketch the signal y(n)=x(-n) (and write its values in...
-
What are the solutions and strategies the Hamburg Port City can use to solve the challenges in the below screenshot.. Points to take in to consideration are: 1) Which FILs are making it difficult for...
-
12. Mr. and Mrs. Lam purchased their first property in Wan Chai, in joint names, on 1 December 2017. The flat was rented out at HK$8,500 per month to their tenant, Mr. Wong, from 8 December 2017 to 7...
-
Consider any recent purchase you made at a department store such as Target, Walmart, or Kmart. A business process that occurred was the sale of a product to you. However, to make that sale, the...
-
Interview managers at three companies in your area about their use of ERP. How have their experiences been similar? What accounts for the similarities and differences?
-
Find the exact value of each expression. (a) ln/e 2 (b) ln e (c) ln(ln e e 50 )
-
Find the functions (a) f t, (b) t f , (c) f f, (d) t t and their domains. f(x) = 5 - x , g(x) = x - 1
-
Find the exact value of each expression. (a) log 3 81 (b) log 3 (1/81) (c) log 9 3
-
Why thin film on a glass surface can remove completely reflections at certain light wavelength? Magnesium fluoride (n = 1.38) is used as coating on nonreflecting glass. How thin coating is enough to...
-
How much work ( in joules) is done in lifting a 45.57 newton box from the floor to a table that is 0.73 meters above the floor? Round your final answer to two decimal places. A ball is thrown...
-
1. Discuss one form of radiation you encounter in your daily life and why you use it. 2. What are some of the reported effects of that type of radiation on the human body? [Sources of information...
Study smarter with the SolutionInn App