Let f be a function that is differentiable at x = c. a. Explain why b. Use
Question:
Let f be a function that is differentiable at x = c.
a. Explain why
b. Use the result of part (a) together with the fact that
to show that
c. Explain why the result obtained in part (b) shows that f is continuous at x = c.
Transcribed Image Text:
f'(c) lim X-C = f(x) - f(c) X - C
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 22% (9 reviews)
a Write any number x as x c h If the value of x is approaching c then h is approac...View the full answer
Answered By
Shadrack Mulunga
I am a Biochemistry by profession. However, I have explored different fields of study. My quest to explore new fields has helped me gain new knowledge and skills in Business, clinical psychology, sociology, organizational behavior and general management, and Project Management. I count my expertise in Project management, in particular, creation of Work Break Down Structure (WBS) and use of Microsoft Project software as one of my greatest achievement in Freelancing industry. I have helped thousands of BSC and MSC students to complete their projects on time and cost-effectively using the MS Project tool. Generally, I find happiness in translating my knowledge and expertise to success of my clients. So far, i have helped thousands of students to not only complete their projects in time but also receive high grades in their respective courses. Quality and timely delivery are the two key aspects that define my work. All those who hired my services always come back for my service. If you hire my services today, you will surely return for more. Try me today!
5.00+
154+ Reviews
289+ Question Solved
Related Book For
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
Question Posted:
Students also viewed these Mathematics questions
-
In Corollary 10.2 we were concerned with finding the appropriate "big-Oh" form for a function f: Z+ R+ U {0} where f(1) ¤ c, for c Z+ f(n) ¤ af (n / b) + c, for a, b Z+ with b ¥ 2,...
-
Let f be a nonnegative continuous function on [0,1]. (a) Show that (b) Use part (a) to evaluate xf(sin x) dx = (n/2) | f(sin x) dx. x sin x cos x ax.
-
Thoroughly explain opportunities and challenges in technology, ethics, social responsibility, organizational culture, and globalization that sport managers face today and in the near future.
-
At times we can generate a regression equation to explain outcomes. For example, an employees salary can often be explained by their pay grade, appraisal rating, education level, etc. What variables...
-
The Consumer Confidence Survey is a monthly review that measures consumer confidence in the U.S. economy. It is based on a typical sample of 5,000 U.S. households. Last month 9.1% of consumers said...
-
Did Gentry violate his fiduciary duty when he bought partnership property without telling his partner?
-
Link Back to Chapter 7. ComDigital, Inc., designs and manufactures chips used in digital cell phones. ComDigital is currently developing the next generation of computer chips that will allow users to...
-
Pittsburgh Aluminum Company uses a process cost system to record the costs of manufacturing rolled aluminum, which consists of the smelting and rolling processes. Materials are entered from smelting...
-
Corporate valuation Scampini Technologies is expected to generate $100 million in free cash flow next year, and FCF is expected to grow at a constant rate of 6% per year indefinitely. Scampini has no...
-
In Exercises 1 through 4, determine where the second derivative of the function is positive and where it is negative. y 1 2 3 X
-
In Exercises 1 through 4, determine where the second derivative of the function is positive and where it is negative. 4 -2 y 12 X
-
Hoping to lure more shoppers downtown, a city builds a new public parking garage in the central business district. The city plans to pay for the structure through parking fees. For a random sample of...
-
Systems thinking is all about solving problemsin organizations, world situations, and even our personal lives. But it is not just a procedure; it is a different way of approaching problems. Our...
-
How would I display the following 3 principles in an entertaining infographic? Be very specific . Principle 1: Employee Engagement and Motivation Drawing from the Human Relations Movement theory and...
-
Shown below is a cross section of tubular member which is subjected to a torque T= 5.5 kN-m. It has a length L-3.0-m and the material shear modulus G=27 GPa. Dimensions: b=150 mm, h= 100 mm and t= 8...
-
The hip roof shown in the below Figure 2 is constructed of 2x10 rafters spaced 16 inches on center. The hip rafters are 1 -inch-wide by 12-inch-high GLBs. The roof has a slope of 4:12. Prepare a list...
-
2. Estimate the populations of Fargo, ND and Bismarck, ND in years of 2040 and 2050. Select a single value of population that you would use for design purposes in each year. You need to specify and...
-
Find the coordinates of a second point on the graph of a function f when the given point is on the graph and the function is (a) even and (b) odd. 1. (-5/3, -7) 2. (2a, 2c)
-
In Problem use absolute value on a graphing calculator to find the area between the curve and the x axis over the given interval. Find answers to two decimal places. y = x 3 ln x; 0.1 x 3.1
-
In Exercises, find the proportion of observations of a standard normal distribution for each region. Find a z-score so that 52% of the area under the normal curve is to the right of z.
-
The time (in years) until a certain machine requires repairs is a random variable t with probability density function defined by (a) Find the probability that no repairs are required in the first...
-
In Exercises, find the proportion of observations of a standard normal distribution for each region. The region that is up to 2.5 standard deviations above the mean
-
You want to invest annual amounts over the next 15 years. If your goal is to have $15,000 at the end of that time and if you can earn 8 percent on your invested funds, how much do you need to invest...
-
please explain thoroughly how to do in excel 1. Find the number of units to ship from each factory to each customer that minimizes total cost
-
For esch of the following Independent tranactiona, determine the minimum amount of net income or loas for tox purposes snd the tsxpsyer to which it applies. 1 An individual purchases a $ 1 0 , 0 0 0...
Study smarter with the SolutionInn App