The signum (or sign) function, denoted by sgn, is defined by (a) Sketch the graph of this
Question:
(a) Sketch the graph of this function.
(b) Find each of the following limits or explain why it does not exist.
(i) limx→0+ sgn x
(ii) limx→0- sgn x
(iii) limx→0 sgn x
(iv) limx→0 | sgn x |
Transcribed Image Text:
-1 if x<0 O if x=0 I if x>0 sgn x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 53% (13 reviews)
a 1 0 b i Since sgna 1 for x 0 lim sgna lim ...View the full answer
Answered By
Sagar Kumar
I am Mechanical Engineer with CGPA of 3.98 out of 4.00 from Pakistan. I went to Government Boys Degree College, Sehwan for high school studies.
I appeared in NUST Entrance Exam for admission in university and ranked #516. My mathematics are excellent and I have participated in many math competitions and also won many of them. Recently, I participated in International Youth Math Challenge and was awarded with Gold Honor. Now, I am also an ambassador at International Youth Math Challenge,
I have been teaching when I was in 9th class class year 2012. I have taught students from 6th class to university level.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Explain why it does not make sense to test for the main effects in a factorial experiment if the interaction effects are significant.
-
Find each of the following limits or state that it does not exist. (a) (b) (c) (d) 1 lim lim 1 lim lim
-
Find each of the following limits or state that it does not exist. (a) (b) (c) (d) lim Vx lim.11/x] lim x(-1)[1 lim x(-1)UA
-
4. Jerry intends to use the money from his loan (and his personal savings if necessary) to make an investment in his friend Elaines business. In return, Elaine has predicted the following returns on...
-
Write an essay in response to one of the following questions. 1- Explain how Candide ends. What have the main characters learned about life in this world? 2- Relate and explain a moment of satire (an...
-
Pantene Paints has annual sales of $ 2,250,000 with variable expenses of 60 percent of sales and fixed expenses per month of $ 25,000. By how much must annual sales increase for Pantene Paints to...
-
As shown in Fig. P7.29, a jet of liquid directed against a block can tip over the block. Assume that the velocity, \(V\), needed to tip over the block is a function of the fluid density, \(ho\), the...
-
Variable versus absorption costing The Zwatch Company manufactures trendy, high-quality moderately priced watches. As Zwatchs senior financial analyst, you are asked to recommend a method of...
-
You push on a rectangular door at the location of the knob (see diagram for top view). The door s mass is 71.5 kg, and its side-to-side width is 1.87 m. The knob is located 0.19 m from the right-hand...
-
The bookkeeper of Greener Landscaping, Inc., prepared the companys balance sheet while the accountant was ill. The balance sheet contains numerous errors. In particular, the bookkeeper knew that the...
-
Find the limit, if it exists. If the limit does not exist, explain why. |x + 4|| 39. lim |x + 4| 40. lim *--4- X + 4 --4 |x- 2| 2r2 - 3x 41. lim x-2 - 2 42. lim x-15 2x - 3 44. lim (-) 43. lim |x|
-
Let (a)Find limx→2- f(x) and limx→2+ f(x) (b) Does limx→2 f(x) exist? (c) Sketch the graph of f. if x <2 x-1 if x> 2 f(x)
-
Clean Company reported the following information on its current-year contribution margin income statement: a. What was the dollar amount of the margin of safety? b. The marketing department suggests...
-
describe the difference between a swap broker and a swap dealer. 2. what is the necessary condition for a fixed -for-floating interest rate swap to be possible? 3. discuss the risks confronting an...
-
Terry Lemus, whose mass is 60.0 kg, starts her trapeze act on a platform 20.0 m above the safety net. She is holding the bar of the trapeze so that its 5.00 m ropes are stretched taut horizontally....
-
2 2 points A glass of height 16.0 cm and diameter 8.00 cm is completely filled with an unknown liquid. A coin is placed in the exact center of the cup. See the figure. Light reflecting off the coin...
-
Explain how tax-benefit linkages, spillovers, and economies of scale influence fiscal federalism (that is, what each of those implies in terms of the optimal division of responsibilities across the...
-
Assume the carrying capacity of the earth is 9 billion. Use the 1960s peak annual growth rate of 2.1% and population of 3 billion to predict the base growth rate and current growth rate with a...
-
Dafna Brauning owns a small chain of fast-casual restaurants in Denver that sells sandwiches, soups, wraps, and desserts. In general, these restaurants are successful, but Dafna feels that they are...
-
Gopher, Inc. developing its upcoming budgeted Costs of Quality (COQ) with the following information: Expense Item Budget Raw Materials Inspection $ 15,000 EPA Fine 200,000 Design Engineering 15,000...
-
Calculate the rate of infiltration heat loss of a room with a 42 m 2 floor area and 4 m high ceilings. Use an inside temperature of 21C and an outside ambient temperature of -15C. Assume the heat...
-
An all-equity firm is considering the purchase of a depreciable asset that costs $680,000 and would be fully depreciated over six years using the straight-line method. The asset is expected to...
-
A firm owns three department stores. Each store has a debt-equity ratio of 16 percent and makes interest payments of $44,000 at the end of each year. The cost of the firm's levered equity is 18...
-
Belgian Bite Corp. is considering a project that has the following cash flow data. What is the project's IRR? Year 0 1 2 3 Cash flows $1,100 $450 $470 $490
Study smarter with the SolutionInn App