Suppose f is a positive function. If lim xa f(x) = 0 and lim x g(x)
Question:
Suppose f is a positive function. If lim x→a f(x) = 0 and lim x →∞ g(x) = ∞ show that
This shows that 0∞ is not an indeterminate form.
Transcribed Image Text:
lim [f(x)]o = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 30% (10 reviews)
y x Iny gx ln fx Since is a positive function In ...View the full answer
Answered By
Muhammad Ghyas Asif
It is my obligation to present efficient services to my clients by providing a work of quality, unique, competent and relevant. I hope you have confidence in me and assign me the order and i promise to follow all the instructions and keep time.
4.60+
109+ Reviews
203+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
If f is a positive function and f''(x)
-
(a) Find a positive continuous function f such that the area under the graph of f from 0 to t is A(t) = t2 for all t > 0. (b) A solid is generated by rotating about the -axis the region under the...
-
(a) Find a positive continuous function f such that the area under the graph of f from 0 to is A(t) = t3 for all t > 0. (b) A solid is generated by rotating about the -axis the region under the curve...
-
17. [1.1/2 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER Write the composite function in the form f(g(x)). [Identify the inner function u-g(x) and the outer function y=f(u).) (Use...
-
Distinguish between authentic leadership, transformational leadership, and servant leadership. Are all necessary to change individuals and social systems within an organization?
-
Researchers at the Consumer Product Testing Laboratory test samples of electronic surge protectors to find the voltage levels at which computers can be damaged. For each of the following, determine...
-
Which of the following is not an element of an internal control system? a. Auditing b. The control environment C. Monitoring d. Information and communication
-
The Coca-Cola Company is a global soft drink beverage company (ticker symbol = KO) that is a primary and direct competitor with PepsiCo. The data in Exhibits 12.1312.15 include the actual amounts for...
-
Suppose F(x, y) = (x+4) + (2y + 4)j. Use the fundamental theorem of line integrals to calculate the following. (a) The line integral of along the line segment C from the point P = (1,0) to the point...
-
You are a CA who has just been hired by Saskatoon Fields Forever Inc. (SFF), formerly MUGS Partnership (MUGS) as the controller. It is August 1, 2014, your rst day at SFF. You are meeting with Meghan...
-
Evaluate lim x - xIn
-
If f'' is continuous, show that
-
Evaluate the indefinite integral. sec 20 de
-
Water will start coming out horizontally in jets from the two holes. Which jet will have the faster initial speed? Find an expression for the ratio of the speed of the two jets. Assume the jets exit...
-
Firm A has a market value of $600 MM and 30 MM shares outstanding. Firm B has a market value of $200 MM and 20 MM shares outstanding. A is contemplating acquiring B. Firm A's CFO concludes that the...
-
Look at this article about our airport expansion https://flyfrompti.com/whats-going-on-at-pti-current-construction-projects/ What is the purpose of the PTI airport? How can this expansion support...
-
Faith Busby and Jeremy Beatty started the B&B partnership on January 1, Year 1. The business acquired $62,000 cash from Busby and $138,000 from Beatty. During Year 1, the partnership earned $65,200...
-
1. Exploration into celestial bodies, explore the upcoming cosmic spectacles visible from Earth. 2. Research and identify a comet projected to approach close enough to Earth for potential...
-
Billings Company takes out a 12%, 90-day, $100,000 loan with First National Bank on March 1, 2014. Required 1. Prepare the journal entry on March 1, 2014. 2. Prepare the adjusting entries for the...
-
Nike manufactures shoes and sportswear. How has the Internet changed the way this company communicates with its suppliers and retail customers?
-
Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
-
Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
-
Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
-
Briefly describe the situation. Include a link to the story (optional). What issues specifically concern the organization, brand, product, or service? What communication/marketing channels did the...
-
3)The figure shows two wires that are tied to a 0.800 kg ball that revolves in a horizontal circle at a constant speed A) Draw the FBD and KD of the ball. If the tension in the top wire is 38.0 N, B)...
-
On January 1, 2025, Crane Inc. had these stockholders' equity balances. Common Stock, $1 par (2,200,000 shares authorized, 615,000 shares issued and outstanding) $615,000 Paid-in Capital in Excess of...
Study smarter with the SolutionInn App