Show that the function is continuous on (-, ). Jx* sin(1/x) ifx + 0 if x =
Question:
Show that the function
is continuous on (-∞, ∞).
Transcribed Image Text:
Jx* sin(1/x) ifx + 0 if x = 0 f(x) =
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (15 reviews)
f x x 4 sin1x is continuous on 0 0 since it is the product of a ...View the full answer
Answered By
FREDRICK MUSYOKI
Professional Qualities:
Solution-oriented.
Self-motivated.
Excellent problem-solving and critical thinking skills.
Good organization, time management and prioritization.
Efficient troubleshooting abilities.
Tutoring Qualities:
I appreciate students as individuals.
I am used to tailoring resources for individual needs.
I can integrate IT into student's lessons.
I am good at explaining concepts.
I am able to help students progress.
I have a wide curriculum knowledge.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that the function is continuous for x 1, 2. Then compute the right- and left-hand limits at x = 1, 2, and determine whether f (x) is left-continuous, right-continuous, or continuous at these...
-
Show that the function f(x):= 1/x2 is uniformly continuous on A: = (1, ), but that it is not uniformly continuous on B: = (0, ).
-
If f is continuous on [a, b], show that
-
A mixture containing KClO3, K2CO3, KHCO3, and KCl was heated, producing CO2, O2, and H2O gases according to the following equations: The KCl does not react under the conditions of the reaction. If...
-
Pesarchick & Company is an architectural firm specializing in home remodeling for private clients and new office buildings for corporate clients. Pesarchick charges customers at a billing rate equal...
-
Consider the tit-for-tat strategy in the repeated prisoners dilemma. Suppose that one player makes a mistake and defects when he meant to cooperate. If both players continue to play tit for tat after...
-
The Chronicle of Higher Education Almanac (Aug. 27,1999) reports that the percentage of undergraduates in the United States receiving federal financial aid is 45% at public four-year institutions and...
-
The demand for a product of Carolina Industries varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the companys monthly demand: Unit...
-
Q-CURE Ltd is planning to invest in an energy-enhancing drink project that requires equipment with a purchase price of $90,000. The installation cost of $6,000 for the drink-producing equipment would...
-
1. Discuss the possible reasons to buy a watch today. Connect each motivation you identify with an appropriate motivational theory from the chapter. 2. What does Apple really believe will motivate...
-
If a and b are positive numbers, prove that the equation has at least one solution in the interval (-1, 1). 3 3 +x 2 x + 2x? 1
-
Let f(x) = x/1 - cos 2x. (a) Graph f. What type of discontinuity does it appear to have at 0? (b) Calculate the left and right limits of f at 0. Do these values confirm your answer to part (a)?
-
Shauna Coleman is single. She is employed as an architectural designer for Streamline Design (SD). Shauna wanted to determine her taxable income for this year. She correctly calculated her AGI....
-
You are the cost accountant of an engineering concern which has three departments - preparation, machining and assembly. The budgeted direct labour hours for the workshops are 8,000, 12,000 and...
-
What alternative to fostering fun and enjoyment at work do you think might have worked for Zappos?
-
Using the techniques of dimensional analysis, and assuming that experimentation shows the dimensionless number to be 1, derive the following equation: E v = Job card two The results of an ultrasonic...
-
Given the historical cost of product Carla Vista is $13, the selling price of product Carla Vista is $15, costs to sell product Carla Vista are $3, the replacement cost for product Carla Vista is...
-
What causes of outliers in statistics and when I create a boxplot why do I not see the outliers. What steps are to take in creating a boxplot?
-
Webb Corp. sponsors a defined benefit pension plan for its employees. On January 1, 2012, the following balances relate to this plan. Plan assets $480,000 Projected benefit obligation 600,000 Pension...
-
Give an example of transitory income. What effect does this income have on the marginal propensity to consume?
-
(a) Program a calculator or computer to use Euler's method to compute y(1) where y(x)is the solution of the initial-value problem dy/dx + 3x2y = 6x2 y(0) = 3 (i) h = 1 (ii) h = 0.1 (iii) h = 0.01...
-
The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is...
-
Use the direction field labeled II (above) to sketch the graphs of the solutions that satisfy the given initial conditions. (a) y(0) = 1 (b) y(0) = 2 (c) y(0) = - 1
-
What is the Breakeven Point in units assuming a product selling price is $100, Fixed Costs are $8,000, Variable Costs are $20, and Operating Income is $32,000 ? 100 units 300 units 400 units 500 units
-
Given the following financial data for the Smith Corporation, calculate the length of the firm's operating cycle (OC). Sales $2,610,000 Cost of Good Sold $2,088,000 Inventory $ 278,400 Accounts...
-
The predetermined overhead rate is usually calculated Group of answer choices At the end of each year At the beginning of each month At the beginning of the year At the end of the month
Study smarter with the SolutionInn App