Show that Verify that n! (n/2) n/2 by observing that half of the factors of n!
Question:
Show that Verify that n! ≥ (n/2)n/2 by observing that half of the factors of n! are greater than or equal to n/2.
Transcribed Image Text:
lim Vn! = ∞o. 00. n→∞0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (2 reviews)
We show that n For n 4 even we have 1 factors factors Since each one of the factors is greater t...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The alleles for black (B) and white (b) feather color in chickens show incomplete dominance; individuals with the gene pair Bb have "blue" feathers. When one individual that is homozygous dominant...
-
Recall that a customer is considered to be very satisfied with his or her XYZ Box video game system if the customer's composite score on the survey instrument is at least 42. One way to show that...
-
Recall that a customer is considered to be very satisfied with his or her XYZ Box video game system if the customers composite score on the survey instrument is at least 42. One way to show that...
-
In 2010 Casey made a taxable gift of $7.3 million to both Stephanie and Linda (a total of $14.6 million in taxable gifts). Required: Calculate the amount of gift tax due this year and Caseys unused...
-
Qualls Corporation reported 2012 earnings per share of $7.21. In 2013, Qualls reported earnings per share as follows. On income before extraordinary item $6.40 On extraordinary item 1.88 On net...
-
Lupore Fabrics obtained a contract in Watts Mills, South Carolina, that involves the production of materials for military uniforms, a project contracted with the federal government for $2,800,000....
-
Can a magnet have more than two magnetic poles, one north and one south?
-
Flow of a film on the outside of a circular tube (see Fig. 2B.6), in a gas absorption experiment a viscous fluid flows upward through a small circular tube and then downward in laminar flow on the...
-
1 Explain briefly about six sigma and capacity maturity models? 2 Explain about the contemporary management practices taking place in Indian business model? 3 4 What is performance management?...
-
Use Eulers Formula to express each of the following in a + bi form. (a) e /4i (b) 4e 5/3i (c) ie /2 i
-
The following argument proves the divergence of the harmonic series without using the Integral Test. To begin, assume that the harmonic series converges to a value S. 00 =1 1/n
-
Emilys Greenhouse Corporation is a local greenhouse organized 10 years ago as a corporation. The bookkeeper prepared the following statement at year-end (assume that all amounts are correct, but note...
-
Consider the representative investment in the venture capital fund shown in the worksheet "VC Fund I" in the student spreadsheet file. Assume that the FoF or Investure commits $7.5 million to VC Fund...
-
9. A gamma ray of energy E incident on a stationary proton produces a pion as per the reaction P+YT+ p. m m_[1+ 2] 2mp (a) Show that the threshold energy required for the reaction is E = mc1+ (b) If...
-
Using standard reduction potentials from the ALEKS Data tab, calculate the standard reaction free energy AG for the following redox reaction. Round your answer to 4 significant digits. 2+ Mn+ (aq)+...
-
You have several users who have local administrative access to their computers. Some of these users are changing certain policies that shouldn't be changed for security reasons. You don't want to...
-
UMA, owner of UMA General Merchandising, and ASA, sole proprietor of ASA Trading, decided to combine their businesses on February 15, 2021 in order to cope up with the worsening business and economic...
-
Study the Minitab p chart for a manufactured item. The chart represents the results of testing 30 items at a time for compliance. Sixty different samples were taken for this chart. Discuss the...
-
A firm has the following balance sheet: Assets Cash Accounts receivable Inventory Plant and equipment $ 15,000 150,000 92,000 170,000 $427,000 Liabilities and Equity Accounts payable Long-term debt...
-
How are lim xa - f(x) and lim xa + f(x) calculated if f is a polynomial function?
-
Assume lim x3 g(x) = 4 and f(x) = g(x) whenever x 3. Evaluate lim x3 f(x), if possible.
-
Explain why lim x3 x 2 - 7x + 12/x - 3 = lim x3 (x - 4).
-
Use the continuous compound interest formula to find the indicated value. a= 6100, r= 8.48% t= 8 years p=___ round to two decimal places Use the continuous compound interest formula to find the...
-
Lin Corporation has a single product whose selling price is $135 per unit and whose variable expense is $81 per unit. The company's monthly fixed expense is $23,700. Required (hint- make sure to...
-
A US government bond has an annual coupon rate of 3% and a face value of $100. The bond pays semi-annual coupons and has 8 years to maturity. The next coupon will be paid 6 months from now. The...
Study smarter with the SolutionInn App