Do removable discontinuities exist? a. Does the function f(x) = x sin (1/x) have a removable discontinuity
Question:
Do removable discontinuities exist?
a. Does the function f(x) = x sin (1/x) have a removable discontinuity at x = 0?
b. Does the function g(x) = sin (1/x) have a removable discontinuity at x = 0?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a Note that 1 sin1x 1 for all x 0 so x x sin1x x for x 0 For x 0 we ...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
The discontinuities in graphs (a) and (b) are removable discontinuities because they disappear if we define or redefine f at a so that The function in graph (c) has a jump discontinuity because left...
-
Referring to Figure 14, state whether f (x) is left-or right-continuous (or neither) at each point of discontinuity. Does f (x) have any removable discontinuities? FIGURE 14 Graph of yf(x)
-
For what values of the numbers and does the function f(x) = axebx2 have the maximum value f(2) = 1?
-
General Ledger Accounts Account: Cash Date Description Opening Balance Account: Date Petty Cash Description Opening Balance Account: Date Accounts Receivable Description Opening Balance Account: Date...
-
Depreciation information for Buckingham Ltd. is given in BE9-4. Using the diminishing-balance method and assuming the depreciation rate is equal to one time the straight-line rate, calculate the...
-
A ballistic pendulum is a device used to measure the velocity of a projectile for example, the muzzle velocity of a rifle bullet. The projectile is shot horizontally into, and becomes embedded in,...
-
The accounting records for ADR, Inc., reflected the following amounts at the end of August 2010: Prepare ADRs multi-step income statement for the fiscal year ended August 31,2010. Cash...... $3,500...
-
Larissa Company has a unit selling price of $250, variable costs per unit of $170, and fixed costs of $140,000. Compute the break-even point in units using (a) The mathematical equation and (b)...
-
Directions: Put your feet in the shoes of the business owner and suggest specific ways on how a business can gain profit and how it can be avoid loss Ways to Gain Profit 1. 2. 3. 4. 5. 1. 2. 3. 4. 5....
-
Do you think U.S. combination stores (supercenters) will dominate grocery retailing? Why or why not?
-
Show that the following functions have a removable discontinuity at the given point. x 1 .2 if x + 1 ; x = 1 g(x) if x = 1 3
-
Classify the discontinuities in the following functions at the given points. |x 2| ; D 2 F(x) 2
-
An $800,000 bond issue on which there is an unamortized discount of $60,000 is redeemed for $760,000. Journalize the redemption of the bonds.
-
22 Vulcan Flyovers offers scenic overflights of Mount Saint Helens. Data concerning the company's operations in July appear below: Vulcan Flyovers Operating Data For the Month Ended July 31 Flights...
-
Water is flowing steadily in a 30-m-long and 5-cm-diameterhorizontal pipe made of stainless steel at a rate of 9 L/s.Determine (a) the pressure drop, (b) the head loss, and (c) thepumping power...
-
The initial velocity vector v; points North and has magnitude of 5.6 m/s Five second later, the final velocity vector vf points East, and has the same magnitude as the initial velocity vector. (a)...
-
Translate the following RISC-V function F1 into machine code both in binary and hexadecimal: F1: addi x9, x0, -5 L2: add x10, x0, x9 sw x10, 20 (x0) L1: lw x11, 20 (x0) beq x9, x11, L1 jal x0, L2 lui...
-
4. To the right are six velocity-time graphs for toy straight hallway. robots that are traveling along Rank the magnitudes of the displacements during these intervals. Explain your reasoning. F:...
-
Solve and graph the solution. Show the details of your work. (x 2 D 2 - 3xD + 4I)y = 0, y(1) = -, y' (1) = 2
-
The Smiths buy a house. They borrow 80 percent of the purchase price from the local ABC Savings and Loan. Before they make their first payment, ABC transfers the right to receive mortgage payments to...
-
Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 5 + 54x - 2x 3 , [0, 4]
-
Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 2x 3 - 3x 2 - 12x + 1, [-2, 3]
-
Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 3x 4 - 4x 3 - 12x 2 + 1, [-2, 3]
-
The idea of leadership and the word "leader" has been used in political and business scholarship to denote both those in formal power positions (i.e., king, head of state, president, CEO), as well as...
-
Onslow Company purchased a used machine for $178,000 cash on January 2. On January 3, Onslow paid $2,840 to wire electricity to the machine. Onslow paid an additional $1,160 on January 4 to secure...
-
\- A word most of us are familiar with, But is it management of time we talk about? If you go by its literal meaning, it says about managing the time - Is it possible? Not Really! We cannot...
Study smarter with the SolutionInn App