Show that f is continuous on ( , ) 1 x if x 1 if x 1 f(x) Inx...

By Theorem 5 since f x equals the polynomial f is contin ...

Show that f is continuous on (-, ). |1 x if x < 1 if x>1

Question:

Show that f is continuous on (-∞, ∞).

|1 – x² if x < 1 if x>1 f(x) Inx

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Feb 26, 2019 09:41 AM

See More Questions

(a) Show that the absolute value function F(x) = |x| is continuous everywhere. (b) Prove that if f is a continuous function on an interval, then so is | f |. (c) Is the converse of the statement in...
If f is continuous on [a, b], show that
If f' is continuous on [0, ] and lim x f(x) = 0, show that f(x) dx--f(0)
The following data represent the prices in dollars of general admission tickets for the last 18 concerts at one venue. Use the given data to determine the stems for this stem-and-leaf plot. $50 $61...
Following are a series of cost behavior graphs. The total cost is shown on the vertical (y) axis and the volume (activity) is shown on the horizontal (x) axis. For each of the following situations,...
The following financial information (in US$ millions) is for two major corporations for the three years ended December 31: Instructions a. Calculate the inventory turnover, days sales in inventory,...
In the Wall of Death carnival attraction, stunt motorcyclists ride around the inside of a large, 10-m-diameter wooden cylinder that has vertical walls. The coefficient of static friction between the...
Selected information from the payroll register of Joanie's Boutique for the week ended September 14, 20--, is as follows. Social Security tax is 6.2% on the first $110,100 of earnings for each...
Assume that the law allows an MLB franchise owner to assign 50% of a team's purchase price to player contracts, and that they must be depreciated over one year. Freddy Moneybucks purchases the...
A class called Pair has already been declared, but the constructors have not been implemented yet. Pair has two public member variables: int *pa,*pb; These two "pointers to int" are intended to point...
Find f' in terms of g'. f (x) = x 2 g(x)
Find the limit or show that it does not exist. lim (e-2* cos x)
Consider the time to recharge the flash in cell phone cameras as in example 3-2. Assume that the probability that a camera passes the test is 0.8, and the cameras perform independently. Determine the...
Explain five communication barriers and gateways through them. include academic relatively recent references (the last five years) and include citation in the text . DO NOT MEET THE ABOVE CONDITIONS...
Why does the visual make me feel this way? How is it put together? What role do color, lighting, size, shope, line, texture, Engle and balance indicate about the piece? How are the details selected...
What do you think will be your biggest hurdles when it comes to interviewing? What will you struggle with most? What will be your biggest strengths during an interview? In what ways do you expect to...
How punctuations have changed English as a language? Did English punctuations change in history to date? How did punctuations change over history in English? Please add references for my ease to...
What will be the enduring impacts of the pandemic and lockdowns on face - to face connections ? In a well - developed paragraph , outline and support your ideas.
Flip a dice 4 times. Let X be the total number of 5 or 6. (a) Compute the probability of X = 0, i.e., there is neither 5 nor 6. (b) Compute the probability of X = 1, i.e., there is exactly one of 5...
Pearl Medavoy will invest $10,240 a year for 20 years in a fund that will earn 10% annual interest. . If the first payment into the fund occurs today, what amount will be in the fund in 20 years? If...
Use the form of the definition of the integral given in Theorem 4 to evaluate the integral. a. b. (4- 2x) dx r2x) dx -2
Express the integral as a limit of Riemann sums. Do not evaluate the limit. dx 21x5
If f(x) = ex - 2, 0 x 2, find the Riemann sum with n = 4 correct to six decimal places, taking the sample points to be midpoints. What does the Riemann sum represent? Illustrate with a diagram.
Record the following transactions for Tri - State Corporation on the dates indicated. 1 . On March 3 1 , 2 0 2 0 , Tri - State Corporation discovered that Depreciation Expense on equipment for the...
William has decided to increase his sales price to $ 2 6 to offset the supplier's price increase. He believes that the increase will result in a 5 % reduction from last year's sales volume. What is...
The same scenarios exist as before, with labor costing either $ 1 3 / lawn or $ 2 5 / lawn . Assume that your mowing business will mow 3 5 0 lawns per month rather than 2 0 0 lawns per month. Also...

Show that f is continuous on (-, ). |1 x if x < 1 if x>1

Question:

|1 – x² if x < 1 if x>1 f(x) Inx

Step by Step Answer:

By Theorem 5 since f x equals the polynomial f is contin...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions