The Gamma Function (n) is defined in terms of the integral of the function given by (x)
Question:
The Gamma Function Γ(n) is defined in terms of the integral of the function given by ƒ(x) = xn−¹e-x, n > 0. Show that for any fixed value of n, the limit of ƒ(x) as x approaches infinity is zero.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
Let N be a fixed v...View the full answer
Answered By
Douglas Makokha
Unlock Academic Success with Dedicated Tutoring and Expert Writing Support!
Are you ready to excel in your academics? Look no further! As a passionate tutor, I believe that dedication and hard work are the keys to achieving outstanding results. When it comes to academics, I strive to provide nothing but the best for every student I encounter.
With a relentless thirst for knowledge, I have extensively researched numerous subjects and topics, equipping myself with a treasure trove of answers to tackle any question that comes my way. With four years of invaluable experience, I have mastered the art of unraveling even the most intricate problems. Collaborating with esteemed writers has granted me exclusive access to the trade secrets utilized by the industry's top professionals.
Allow me the pleasure of assisting you with your writing assignments. I thrive on challenges and will guide you through any obstacles you may face. Together, we will unlock your academic potential and pave the way for your success.
4.90+
60+ Reviews
342+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that for any probability- generating function, H (z), H (1) = 1.
-
Show that for any positive integers i and j with i > j, we have Ti(x)Tj(x) = 1/2[Ti+j(x) + Tij(x)].
-
Show that for any three events A, B, and C with P(C) > 0, P(A B|C) = P(A|C) + P(B|C) - P(A B|C).
-
Briefly explain the meaning of the following concepts and terms: greenhouse gases (GHGs), the IPCC, the little ice age, the Keeling graph, telekinetic property of the atmosphere, global weirding,...
-
Let S = $100, K = $105, r = 8%, T = 0.5, and = 0. Let u = 1.3, d = 0.8, and n = a. What are the premium, and B for a European call? b. What are the premium, and B for a European put?
-
Southeastern Foods has hired you to analyze their distribution-system design. The company has 11 distribution centers, with monthly volumes as listed below. Seven of these sites can support...
-
When fitting a polynomial to a set of paired data, we usually begin by fitting a straight line and using the method on page 339 to test the null hypothesis \(\beta_{1}=0\). Then we fit a...
-
Figure is a questionnaire designed by an employee of Green Toe Textiles, which specializes in manufacturing mens socks. Di Wooly wrote the questionnaire because, as the office manager at headquarters...
-
The distance (in feet) of an object som a point is given by s(t) = r, where timer is in seconds. (a) What is the average velocity of the object between t = 3 and t = 5? The average velocity between t...
-
Assume that a new intervention has been developed using a new approach to social skills training to help individuals with Aspergers syndrome. How would you design an experiment to test the...
-
In Exercises determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If the graph of is symmetric with respect to the origin or the...
-
The board of directors of a corporation is calculating the price to pay for a business that is forecast to yield a continuous flow of profit of $500,000 per year. The money will earn a nominal rate...
-
Norton Wrench, a machine tool company, recently found out that one of its main competitors has tightened its credit standards. Norton's chief operating officer has asked you to make a recommendation...
-
A company can purchase a machine, which would yield net revenues of 5 0 , 0 0 0 pa . over the first two years and then 4 0 , 0 0 0 p . a . for a further two years. After these four years of...
-
Midland Energy Resources, Inc" Assignment Questions: How are Mortensen's estimates of Midland's cost of capital used? How, if at all, should these anticipated uses affect the calculations? Calculate...
-
What strategy has been found to be particularly helpful for keeping teams together?
-
Determine the domain and range of the functions below. f(x, y) = [x/y4] for any real numbers x and y where y + 0. b. The function that assigns to a bit string the numerical position of the last 0 in...
-
What is r? Remember, r is just the distance from the point at which we are calculating the electric field (which is point P) to the place where the differential charge dq is located (which is at x)....
-
Suppose that a risk-averse decision maker faces a choice of two lotteries, 1 and 2. The lotteries have the same expected value, but Lottery 1 has a higher variance than Lottery 2. What lottery would...
-
You purchase a bond with a coupon rate of 6.7 percent, a par value $1,000, and a clean price of $905. Assume a par value of $1,000. If the next semiannual coupon payment is due in two months, what is...
-
In problem, solve each equation in the real number system. 2x 3 - 11x 2 + 10x + 8 = 0
-
In problem, solve each equation in the real number system. 2x 4 + 7x 3 - 5x 2 - 28x - 12 = 0
-
In problem, identify which of the graphs could be the graph of a polynomial function. For those that could, list the real zeros and state the least degree the polynomial can have. For those that...
-
If f(x)= x^2, what are all possible values of b if g(x)= 4f(x) is identical to h(x)= f(bx) If f(x) = x , what are all possible values of b if g(x)= 9f(x) is identical to h(x)= f(bx) If f(x)= x, what...
-
Our results show that the average student worked for 17 hours on their TMA and that students achieved, on average, 66.74% as a mark. We also know that the intercept of our model is 64.76 and the...
-
A technician for a concrete engineering firm must perform a compression test on a cylindrical piece of concrete that is 6" in diameter and 12" high. What is the volume of the concrete
Study smarter with the SolutionInn App