Question: Give an explicit formula for a function f satisfying the following: lim f(x) x = 4 lim / (+) = x () fx x4

Give an explicit formula for a function f satisfying the following: lim f(x) x = 4 lim / (+) = x () fx x4 lim fx x-4 f(-4) does not exist () does exist as some finite value

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To satisfy the given conditions we need a function that approaches a finite value as goes to ... View full answer

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 Mathematics Questions!

Link BC is 6 mm thick and is made of steel with a 150 MPa yield strength in tension. What should its width be w if the structure shown below is designed to support a 20 kN load P? [5 Marks] 600 mm...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

XYZ What is the difference between volatile and nonvolatile memory? Is RAM volatile or nonvolatile? Is ROM volatile or nonvolatile? 7.9 Registers perform a very important role in the fetch-execute...

Give an explicit formula for a function f satisfying the following: lim f ( x = lim f = O or lim + = -OO x-4 f(-2) does not exist lim to aC does exist as some finite value ac->-2

Give an explicit formula for a function f satisfying the following: lim fac = 6 lim f x = Oo or lim f x = - DO x->-5 f (3) does not exist lim f does exist as some finite value x-+3

Give an explicit formula for a function F satisfying the all the following limits: 1. the limit of f(x) as x approaches negative 5 negative equals negative infinity 2. the limit of f(x) as x...

Answer the following questions and show work- I don't understand them so if you could provide an explanation that would be extremely helpful! Thank you! 1. Suppose fand g are continuous functions...

Please list all steps and see if function f(x)= 4 - 1/5-x is an answer for satisfying all limits. Please list all steps to get an explicit formula for a function f. Give an explicit formula for a...

Could you help me complete the following questions in the image. 2 92 G owl.uwo.ca C ud Yahoo Bing Google e Wikipedia Twitter Linkedin The Weather Channel Yelp TripAdvisor UWO Student Center OUAC...

Let f be the following piecewise-defined function. f(x) = x + 3 for x$4 4x + 3 for x > 4 (a) Is f continuous at x = 4? (b) Is f differentiable at x = 4? (a) Is f(x) continuous at x = 4? Yes O No (b)...

Which of the following is a type of injunctive relief awarded by the judge in EEOC v. DCP Midstream L.P., 608 F. Supp. 2d 107 (D. Maine 2009)? Question 4 options: a) The court did not award any...

From this article Could you help me to identify and pick it from one of the two ERM quadrants that are typically speculative in nature - and explain what the risk is, why it is speculative, and why...

The company Techito S.A. has the following cost elements: 1. Rental of premises or office 2. Social charges on wages paid for production. 3. Purchase of glue and staples for reinforced section 4....

In the production of many microelectronic devices, continuous chemical vapor deposition (CVD) processes are used to deposit thin and exceptionally uniform silicon dioxide films on silicon wafers. One...

The City of Charlotte, North Carolina, states its vision and mission as follows: City Vision The City of Charlotte will be a model of excellence that puts citizens first. Skilled, diverse, and...

(a) What is the par or stated value of Coca-Colas and PepsiCos common or capital stock? (b) What percentage of authorized shares was issued by Coca-Cola at December 31, 2007, and by PepsiCo at...

A garden hose with an internal diameter of 1.9 cm is connected to a (stationary) lawn sprinkler that consists merely of a container with 24 holes, each 0.13 cm in diameter. If the water in the hose...

Homemade Dividends you own 1,000 shares of stock in Avondale Corporation. You will receive a $1.50 per share dividend in one year. In two years, on Avondale stock is 15 percent. What is the current...

A firm has total assets of $ 1 0 0 and total debt of $ 2 5 . Equity is $ 7 5 . Debt - equity ratio is 3 . Debt ratios is 2 5 % . Equity ratio is 7 5 % .

Prove that the following limits exist and evaluate them. a)

Suppose that Show that fa{x) is continuous at x = 0 when a > 0 and differentiable at x = 0 when a > 1. Graph these functions for a = 1 and a = 2 and give a geometric interpretation of your results....

Suppose that Ï{B) and É¸(E) are Cp surfaces and that Ï = É¸ o Ï, where Ï is a C1 function from B onto Z. a) If (f, B) and (0, E) are smooth and Ï is...

Damage to the brains right hemisphere is most likely to reduce a persons ability to recite the alphabet rapidly. make inferences. understand verbal instructions. solve arithmetic problems.

During the NREM-1 sleep stage, a person is most likely to experience deep sleep. hallucinations. night terrors or nightmares. rapid eye movements.

The neural structure that most directly regulates eating, drinking, and body temperature is the endocrine system. hypothalamus. hippocampus. amygdala.