(a) Use the Taylor series for e x at x = 0 to show that e x...
Question:
(a) Use the Taylor series for ex at x = 0 to show that ex > x2/2 for x > 0.
(b) Deduce that e-x < 2/x2 for x > 0.
(c) Show that xe-x approaches 0 as x → ∞.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
a Since the above expansion i...View the full answer
Answered By
Muhammad Salman Alvi
Well, I am a student of Electrical Engineeing from Information Technology University of Punjab. Just getting into my final year. I have always been good at doing Mathematics, Physics, hardware and technical subjects. Teaching profession requires a alot of responsibilities and challenges.
My teaching experience started as an home tutor a year ago. When I started teaching mathematics and physic subjects to an O Level student. He was about 14 years old. His name was Ibrahim and I used to teach him for about 2 hours daily. Teaching him required a lot of patience but I had to be polite with him. I used to give him a 5 min break after 1 hour session. He was quite weak in basic maths and calculation. He used to do quite a lot of mistakes in his homework which I gave him weekly. So I decided to teach him basics from scratch. He used to say that he got the concept even if he didn't. So I had to ask him again and again. I worked on his basics for a month and after that I started taking a weekly test sesions. After few months he started to improve gradually. Now after teaching him for about a year I can proudly say that he has improved alot. The most important thing was he managed to communicate all the difficullties he was facing. He was quite capable and patient. I had a sincere desire to help him reach to its full potential. So I managed to do that. We had a very good honest relationship of a student and a teacher. I loved teaching him as a tutor. Now having an experience of one year teaching I can read students quite well. I look forward to work as an online tutor who could help students in solving their all sort of difficulties, problems and queries.
4.90+
29+ Reviews
43+ Question Solved
Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
Question Posted:
Students also viewed these Mathematics questions
-
Use the Taylor series for cos x at a=0 ,which is cos x =1- ... 8! and the identity sin'x = cos 2x to find the first 5 terms of the Taylor series for sinx at a = 0
-
Recall that the density function of a normal distribution with mean u and standard deviation o > 0 is 1 -(-)2/(202) 2 e This is an extremely important family of functions in statistics, and models...
-
The equation x2 y2 +. a2 62 describes an ellipse (a and b are numbers). (a) Sketch the ellipse indicating the intersection points with the axes in terms of a and b. Express y as y = ellipse. From...
-
Perform computational experiments to verify that the average path length in a ring graph on \(V\) vertices is \(\sim 1 / 4 V\). Then, repeat these experiments, but add one random edge to the ring...
-
Why is the prediction interval of 95% wider than the 95% confidence interval for the conditional mean, using the same values of the independent variables?
-
Solve Prob. 442 using Castiglianos theorem. Prob. 442, For the cantilevered handle in Prob. 441, let Fx = 150 lbf, Fy = 0 lbf, Fz = 100 lbf. Find the deflection at the tip along the x axis. In Prob....
-
If the probability is 0.20 that a downtime of an automated production process will exceed 2 minutes, find the probability that 3 of 8 downtimes of the process will exceed 2 minutes using (a) the...
-
Latigoe Inc. has the following financial statement for 20X8. In addition, the company paid stoc kholders dividends of $2.9 million and received $4.8 million from sale of new stock. No fixed assets...
-
Forrest Company manufactures phone chargers and has a policy that ending inventory should equal 20% of the next month's budgeted unit sales. October's ending inventory equals 70.000 units. November...
-
What is the exact value of the infinite geometric series whose partial sum appears at the second entry in Fig. 2? NORMAL FLOAT AUTO REAL RADIAN MP sum(seq(1/X.X.1.99,1)) 5.177377518 sum(sea(2/32x.x....
-
Show that the infinite series diverges. - + + + + +
-
How would Hofstedes dimensions of national culture and GLOBE findings be useful to CATLs management as it moves to Europe and eventually the United States?
-
Corporate social responsibility (CSR) activities are largely an exercise in public relations by major corporations. Discuss.
-
How does marketing in non-profit organizations differ from that in profit-orientated companies? Choose a non-profit organization and discuss the extent to which marketing principles can be applied.
-
Oil Industry in the Philippines The Philippines oil industry has traditionally been dominated by the Big Three refineries: Shell, Petron, and Caltex. To maintain market share, these firms sold...
-
Calculate real GDP in 2022 expressed in base year prices. Tropical Republic produces only bananas and coconuts. The base year is 2021, and the table gives the quantities produced and the market...
-
Use the following data to work out the year in which the U.S. standard of living (i) increased and (ii) decreased. Explain your answer. Year 2017 2018 2019 2020 Real GDP $18.1 trillion $18.7 trillion...
-
Here are the number of domestic flights flown in each year from 2000 to 2012. Year Flights 2000 7,905,617 2001 7,626,312 2002 8,085,083 2003 9,458,818 2004 9,968,047 2005 10,038,373 2006 ...
-
10m solution. If Ka(HA) = 10 then pOH of solution will be [Given : log4=0.6] (A) 6.7 (B) Greater than 6.7 & less than 7.0 (C) Greater 7.0 & less than 7.3 (D) Greater than 7.3
-
Before a DVD leaves the factory, it is given a quality control check. The probabilities that a DVD contains 0, 1, or 2 defects are 0.90, 0.06, and 0.04, respectively. In a sample of 12 DVDs, find the...
-
After a recent national election, voters were asked how confident they were that votes in their state would be counted accurately. The results are shown below. 46% Very confident...........41%...
-
According to survey records, 75.4% of women aged 2024 have never been married. In a random sample of 250 young women aged 2024, find the mean, variance, and standard deviation for the number who are...
-
As an economy develops and becomes more integrated into the world economy how do its costs of production change and how well can manage them in both the short-run and long run.
-
Communication with employees, security and facilities staff, and occupants and visitors is the most important action that can be taken. Discuss why this is the case.
-
Lamar Johnson, a thirty-three-year-old African American patient had been deemed a "frequent flyer" (a term used to describe those who keep coming to the hospital for the same reason, often assumed to...
Study smarter with the SolutionInn App