Show that (x) is continuous at x = a if and only if lim f(a+h) = f(a).

Question:

Show that ∫(x) is continuous at x = a if and only if

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Graphical, Numerical, Algebraic

ISBN: 9780132014083

3rd Edition

Authors: Ross L. Finney, Franklin D. Demana, Bert K. Waits, Daniel Kennedy

See More Books

Question Posted: Jun 02, 2022 01:32 AM

See More Questions

Show that X is stochastically larger than Y if and only if E[f(X)] E[f(Y)] for all increasing functions f . Show that X st Y, then E[f(X)] E[f(Y)] by showing that f(X) st f(Y) and then using...
Show that X is a Poisson random variable with parameter , then E[Xn] = E[(X + 1)n1] Now use this result to compute E[X3].
In Questions 1 and 2, show that x is an eigenvector of A and find the corresponding eigenvalue. 1. 2. 1 2 13 60-45 2J 10-40-32
Q1. a)Analyse Spencers experience in terms of consumer behavior framework in your notes. What variables and processes can you identify that appear to work in this situation? Does this situation...
Describe the four parts of a standardized personal auto policy (PAP).
Show that the factor $\left(z_{i}-z_{j} ight)^{m}$ in the Moore-Read wave function (also present in the phenomenological "Laughlin wave function" for a theoretical description of the FQHE) implies...
To the left of z = 1.185 Find the indicated area under the standard normal curve. If convenient, use technology to find the area.
Scripps Health is a long-standing and prominent nonprofit health-based organization that is based in the greater San Diego area. The organization experienced a severe financial downturn that led to...
BREACH OF CONTRACT, INTENTIONAL INFLICTION OF EMOTIONAL DISTRESS NEGLIGENCE, DEFAMATION, MEDICAL ABANDONMENT, BREACH OF CONFIDENTIALITY ASSAULT, BATTERY, FALSE IMPRISONMENT, FAILURE TO WARN For each...
In how many ways can one arrange the letters in CORRESPONDENTS so that (a) There is no pair of consecutive identical letters? (b) There are exactly two pairs of consecutive identical letters? (c)...
In Exercises find the limit graphically. Use the Sandwich Theorem to confirm your answer. lim x cos X-0 -12
In Exercises find the limit graphically. Use the Sandwich Theorem to confirm your answer. lim x sin
If X and Y have joint density fX,Y(x, y) = 9/32 x2y2, for |x| 1 and |y| 2, and fX,Y (x,y) = 0 otherwise, find the probability that X and Y are both positive.
In bacteria, how are all three steps of transcription catalyzed by a single RNA polymerase?
List the different ways by which it can be attained by humans.
BOD level of three samples of water labeled as A, B and C are 60 mg/L, 20 mg/L and 500 mg/L respectively. Which sample of water is most polluted?
Consider the following information on Stocks I and II: State of Economy Probability of State of Economy Recession Normal Irrational exuberance .21 .56 .23 Stock I Rate of Return if State Occurs Stock...
Why is it important to measure biochemical oxygen demand (BOD) of the effluent? At what stage of sewage treatment is this testing done?
Ashley tosses a fair coin eight times. What is the probability she gets (a) Six heads. (b) At least six heads. (c) Two heads; and (d) At most two heads?
Perform the operation by first converting the numerator and denominator to scientific notation. Write the answer in scientific notation. 7,200,00/0.000009
In a Gallup survey, Americans were asked about their main source of news about current events around the world. If 20% of the population report that their main source is television news, find the...
In 2014, approximately 13% of nonelderly Americans adults had no health insurance. Suppose that a random sample of 400 such individuals was drawn. What is the probability that 15% or more had no...
Refer to Exercise 9.55. A survey of a random sample of 1,200 undergraduate business students indicates that 336 students plan to major in accounting. What does this tell you about the professors...
Factory overhead of $44,700 consists of Indirect labor of $21,900, Depreciation expense-Factory of $16,900, and Factory utilities of $5,900. a. Compute total manufacturing costs. b. Prepare a...
In Giannakakos et al. (2016), titled Using Video Modeling with voiceover Instruction plus feedback to train staff to implement direct teaching procedures, why do you think collecting data on the...
Presidio, Inc., produces one model of mountain bike. Partial information for the company follows: Required: 1. Complete Presidios cost data table. 2. Calculate Presidios contribution margin ratio and...

Show that (x) is continuous at x = a if and only if lim f(a+h) = f(a).

Question:

lim f(a+h) = f(a). h→0

Step by Step Answer:

We can prove this statement using the definition of continuity First we will pro...View the full answer

Calculus Graphical, Numerical, Algebraic

Students also viewed these Mathematics questions