Just as exponential functions are distinguished by their rapid rate of increase, the logarithm functions grow particularly
Question:
Just as exponential functions are distinguished by their rapid rate of increase, the logarithm functions grow particularly slowly. Show that ln x ≪ xa for all a > 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
Using LHopitals R...View the full answer
Answered By
Khurram shahzad
I am an experienced tutor and have more than 7 years’ experience in the field of tutoring. My areas of expertise are Technology, statistics tasks I also tutor in Social Sciences, Humanities, Marketing, Project Management, Geology, Earth Sciences, Life Sciences, Computer Sciences, Physics, Psychology, Law Engineering, Media Studies, IR and many others.
I have been writing blogs, Tech news article, and listicles for American and UK based websites.
4.90+
5+ Reviews
17+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
The board of directors of the Cortez Beach Yacht Club (CBYC) is developing plans to acquire more equipment for lessons and rentals and to expand club facilities. The board plans to purchase about...
-
In February 1998, Steve Miller, the interim CEO of Waste Management, released his in-depth review of the company's audit practices. His findings stunned Wall Street: Waste Management, he announced,...
-
From our discussions of recent criticisms of research into cultural differences: Can we safely assume the existence of single national cultures? Is the influence of culture as an explanatory...
-
Your grandfather put some money in an account for you on the day you were born. You are now 18 years old and are allowed to withdraw the money for the first time. The account currently has $3996 in...
-
A mixture of Na2CO3 and MgCO3 of mass 7.63 g is reacted with an excess of hydrochloric acid. The CO2 gas generated occupies a volume of 1.67 L at 1.24 atm and 26C. From these data, calculate the...
-
Explain the important objectives of transport costing.
-
Because of a sluggish economy, Bechtold Construction has been forced to modify its plans for the housing development in Problem 11-9. The result is that the path from node 6 to 7 now has a distance...
-
Question 2 of 3 - 76 III View Policies Current Attempt in Progress Shown below are the comparative statements of financial position and statement of income for Sunland Corporation 2021 Sunland...
-
Let N(t) be the size of a tumor (in units of 106 cells) at time t (in days). According to the Gompertz Model, dN/dt = N(a b ln N), where a, b are positive constants. Show that the maximum value of N...
-
Find the derivative using logarithmic differentiation as in Example 7. Example 7 y = (x + 5)(x + 9) Find the derivative of f(x) = (x + 1)(2x-3) x +1
-
Two concentric spherical conducting shells of radii a = 0.400 m and b = 0.500 m are connected by a thin wire as shown in Figure Q25.15. If a total charge Q = 10.0 +C is placed on the system, how much...
-
1. A large group of students were asked what their favorite soft drink is. Below is the probability distribution for a student chosen at random liking a particular soft drink. Drink: Choka Kola CR...
-
Task: Identify a local (within 50km of North Bay) business and answer the following questions: Name of Business: 1. Is the business independent or is it a chain? What is one advantage of this...
-
What questions would you like to ask of Cassie to better understand any factors that may be affecting Sasha at this time? Growing sunflowers It's now week 6 into the growing sunflowers project. Your...
-
n rope is fixed to a wall and attached to the block such that the rope is parallel to the surface of the wedge. The 12 points) Consider the situation in the figure where a square block (mi) sits...
-
On January 1, 2017, Dagwood Company purchased at par 6% bonds having a maturity value of $300,000. They are dated January 1, 2017, and mature January 1, 2022, with interest received on January 1 of...
-
With your classmates, form small teams of skunkworks. Your task is to identify an innovation that you think would benefit your school, college, or university, and to outline an action plan for...
-
In the novel and film The Princess Bride, the villain Vizzini kidnaps the princess. In an attempt to rescue her, the hero, Westley, challenges Vizzini to a battle of wits. Consider this variation on...
-
The 100-meter Olympic gold medalist and the 200- meter Olympic gold medalist have agreed to a 150- meter duel. Before the race, each athlete decides whether to improve his performance by taking...
-
Acura and Volvo offer warranties on their automobiles, where wA is the number of years of an Acura warranty and wV is the number of years of a Volvo warranty. The revenue for Firm i, i = A for Acura...
-
If you purchase a $1000 par value bond for $1065 that has a 6 3/8% coupon rate and 15 years until maturity, what will be your annual return? 5.5% 5.9% 5.7% 6.1%
-
Famas Llamas has a weighted average cost of capital of 8.8 percent. The companys cost of equity is 12 percent, and its pretax cost of debt is 6.8 percent. The tax rate is 22 percent. What is the...
-
The common stock of a company paid 1.32 in dividens last year. Dividens are expected to gros at an 8 percent annual rate for an indefinite number of years. A) If the company's current market price is...
Study smarter with the SolutionInn App