Prove that e is irrational. e = 1 + 1 + + +
Question:
Prove that e is irrational.
Transcribed Image Text:
e = 1 + 1 + — + · · · + — + · · · 2! n!
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (5 reviews)
Assume e pqis rational Let N q and form the ...View the full answer
Answered By
Surojit Das
I have vast knowledge in the field of Mathematics, Business Management and Marketing. Besides, I have been teaching on the topics Management leadership, Business Administration, Human Resource Management, Business Communication, Accounting, Auditing, Organizer Behaviours, Business Writing, Essay Writing, Copy Writing, Blog Writing since 2020. It is my personality to act quickly in any emergency situations when students need my services. I am very professional and serious in every questions students asked me at the time of dealing any projects. I have been serving detailed, quality, properly analysed research paper through the years.
4.80+
91+ Reviews
278+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that e is an irrational number using the following argument by contradiction. Suppose that e = M/N, where M, N are nonzero integers. (a) Show that M!e- is a whole number. (b) Use the power...
-
Recall that Q is closed under addition and multiplication. That is, if a, b e Q then a + b = Q and ab e Q. 1. Recall that I is the set of all irrational numbers, that is I (xER:*#Q) (a) Let a e Q and...
-
1. Prove or disprove each of the following statements: (a) Va, be Q, ab is rational. (b) There exists distinct positive integers such that a+b = a+b-2. (c) For any set A, if A\B=0 for any set B, then...
-
I need one or more queries on the basis of database of netflix. I can upload the picture of database Create Index Modify Table Schema Delete Table Print CREATE TABLE Dates ( [PK] INTEGER PRIMARY KEY...
-
Diller & Fisher is a real estate company that rents vacation properties in an oceanside community in New Jersey. They believe that the following table represents the probability distribution for the...
-
Job Order Costing Completing this activity will help you learn to: Determine amounts in a job order cost accounting system for a manufacturing business. Extract information from a data set using...
-
Priming is required in a (a) gear pump (b) screw pump (c) reciprocating pump (d) centrifugal pump
-
Amoruso Parts Company sells vehicle parts to automotive companies. The Truck Division is organized as a cost center. The budget for the Truck Division for the month ended October 31, 2010, is as...
-
Moran owns a building he bought during year 0 for $150,000. He sold the building in year 6. During the time he held the building, he depreciated it by $32,000. What are the amount and character of...
-
In Exercises use the definition of Taylor series to find the Taylor series, centered at c for the function. f(x) = x, c = 0 e2r
-
In Exercises use the definition of Taylor series to find the Taylor series, centered at c for the function. f(x) = e-4x c = 0
-
The sack of mass m has a velocity of v 0 when it is at a height h above the unstretched spring. Determine the maximum compression of the spring if it has stiffness k. WWW k
-
If the amount of retained earnings at the beginning of the year was $ 3 0 , 0 0 0 , and $ 1 2 , 0 0 0 in dividends is paid during the year, calculate net income for the year.
-
Assume the robot's initial pose is [xy 0]=[0 0 the trajectory below autonomously. > 20 15 10 5 in 0 -10 -15 -20 20 30 X 2 then robot will move along 50 60 27 The equation for the above trajectory is...
-
Fixed-interest fund managers measure convexity in conjunction with duration to better measure their exposures to interest rate risk. Discuss the concept of convexity within the context of interest...
-
Walpurg Inc. paid $1.30 as an annual dividend per share last year. The company is expected to increase their annual dividends by 6% each year. How much should you pay to purchase one share of this...
-
Greer Imports sold a plant asset for cash of $31 000. The accumulated amortization amounted to $42 000 and a loss of $2 000 was recognized on the sale. Under these circumstances, the original cost of...
-
There are 5 white mice, 6 brown mice, and 7 gray mice in a cage. For your psychology experiment, you reach in and randomly select 3 to run in a maze. a. What is the expected and standard deviation in...
-
Calculate the number of neutrons of 239Pu.
-
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any > 0 there exists > 0 such that...
-
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any > 0 there exists > 0 such that...
-
Use the following definitions. Assume f exists for all x near a with x > a. We say the limit of f(x) as x approaches a from the right of a is L and write , if for any > 0 there exists > 0 such that...
-
Consider what stakeholders must be present to implement these initiatives, and reflect on the leadership strategies needed for success in promoting quality improvement initiatives in healthcare...
-
Sharon and Bruce were the General Partners (GPs) of Surry Hills Ventures, a (fictional) successful Sydney-based venture capital firm. Their fourth fund (BAV IV) of $300M was already spectacularly...
-
A sample of 80 trees from a forest was collected to document types of tree, and the presence of woodpecker marks on the trunks of the different types of tree. The following summarizes the data found...
Study smarter with the SolutionInn App