Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. if the statement is always true, explain why. if n

If the statement is always true, explain why. If not, give a counterexample.If f is...

60.1K

Verified Solution

Question

Calculus

image

If the statement is always true, explain why. If not, give a counterexample.If f is a function such that lim f(x) exists, then f(0) exists.X-0Choose the correct answer below.O A. The statement is always true. Although it is possible for f(0) to exist without lim f(x) existing, it is not possible for lim f(x) to exist without f(0) also existing.X-0X?0OB.O D.XThe statement is not always true. For example, if f(x) =xX - 1The statement is not always true. For example, if f(x) =XOC. The statement is always true. It is always the case that lim f(x) = f(c).X-C11then lim f(x) = 0 but f(0) does not exist.X?0then lim f(x) = 0 but f(0) does not exist.X-0

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Accounting
1.2K views

Activity-based costing problemFactory A produces golf carts. One of its plants in Texasproduces two...Activity-based...

Basic Math
1.2K views

A sample of 150 individuals (males and females) was surveyed, and the individuals were asked to...

Programming
1.2K views

1. Assuming A equals the binary value 10101010 and B equals the binary value 11110000, the result...

Mechanical Engineering
1.2K views

A vapor-compression refrigeration cycle operates at steady state with Refrigerant 134a as the working fluid. Saturated...

Finance
1.2K views

JJ's is reviewing a project with a required discount rate of 15.2 percent and an initial...

Biology
1.2K views

The Galapagos finches are an example of an array of species that a evolved from...

Statistics
1.2K views

1 Running red survey of 880 drivers asked Recalling the last 10 traf fic lights...

Accounting
1.2K views

Juan earned $100,800 in salary and $6,800 in interest income during the year. Juans employer...

Accounting
1.2K views

Sample work problem below Greenway Irrigation Systems uses...

Accounting
1.2K views

give prices of a foreign currency in units of local currency. For example, the spot...

Accounting
1.2K views

Explain how limited liability companies (LLCs) are treated for federal tax purposes

Finance
1.2K views

EZCUBE Corp. is 45% financed with long-term bonds and 55% with common equity. The debt...