Question: True or false: When lim xa f(x) exists, it always equals f(a). Explain.

True or false: When limx→af(x) exists, it always equals f(a). Explain.

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

False For examp... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus Early Transcendentals Questions!

Q:

1. True or False: When taking a systematic random sample of size n, every group of size n from the population has the same chance of being selected. 2. True or False: A simple random sample is always...

Q:

1. The sum of the deviations about the mean always equals ________. 2. The standard deviation is used in conjunction with the ________ to numerically describe distributions that are bell shaped. The...

Q:

Does the set {x: 0

Q:

economics Question 4 In the first problem-set of the course (Rendahl) we considered the following "income-fluctuation problem" max Eo E B'ucc,()) (1) 120 subject to "()+ a,+() = (1+r)a,(1-1)+y. (2)...

Q:

Indicate whether each of the following statements is TRUE or FALSE. a. If lim f (x) = 5 , then there exists 6' > 0 such that | f (x)5| b e. The limit, lim '7 _ \"Cl 1)? x 7 , does not exist because...

Q:

1) If f(a) is defined and lim f (x) exists, then f (x) is continuous at x = d. A) True B) False 2) If f (x) is continuous at x = a, then f(a) is defined and lim f(x) exists. A) True B) False 3) If...

Q:

1. When is the statement "Whether or not lim f(x) exists, depends on how f(a) is defined" true? Explain your answer. X-a Choose the correct answer below. O sometimes O never O alwaysx2 - 81 True or...

Q:

Question is in the picture below 4. Let's recall the definition of horizontal/slant asymptote. Let f be a function defined at least on an interval (c, co) for some c E R. We say that f has an...

Q:

Determine whether the following statement is true or false. If ModifyingBelow lim With x right arrow c f left parenthesis x right parenthesis equals Upper L , then ModifyingBelow lim With x right...

Q:

ANSWERS ONLY 17 - 18. Which of the following conditions make a single - valued function f 2 points (x) continuous at x = a of its domain? * 1. f(a)is defined Il. lim f (x )exists x -a x-a Ill. lim f...

Q:

A heat pump that operates on the ideal vapor-compression cycle with refrigerant-134a is used to heat a house. The mass flow rate of the refrigerant is 0.25 kg/s. The condenser and evaporator...

Q:

3. Cellie computes the correlation coefficient for the relation between inches of daily precipitation (rain and snow) in Chicago during December and number of daily on-time flights out of O'Hare...

Q:

Q 1 4 . Prepare a cash budget of Mis Novan Television \ & Co . on the basis of the following information for the first soc months of 2 0 1 4 : ( a ) Cost and prices unchanged. ( b ) Cash sales - \ (...

Q:

How was the recent Incredible India campaign different from the previous ones?

Q:

Find the exact value of each expression. (a) log 5 1/125 (b) ln (1/e 2 )

Q:

Find the domain of the function. |h(x) 5 5

Q:

Find the exact value of each expression. (a) log 2 32 (b) log 8 2

Q:

The following disclosure note appeared in the December 31, 2016, annual report of the Intel Corporation. Note 5: Cash and Investments (partial) Available-for-sale investments as of December 31, 2016,...

Q:

kindly assist and provide a detailed evaluation Evaluate the trends in the currency futures market in Kenya between 2021 and 2023. Provide quantitative data and examples to support your

Q:

A long-term promissory note issued by a business or government is a: Share of common stock Share of preferred stock Bond Bonds require the issuing company to pay a fixed number of dollars of interest...