Understanding the Concept of a Limit
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Questions and Answers

What concept is essential to the understanding of calculus and has been around for thousands of years?

  • The concept of an integral
  • The concept of a limit (correct)
  • The concept of a derivative
  • The concept of a function

When did the formal definition of a limit appear?

  • Late 19th century (correct)
  • Early 19th century
  • Late 18th century
  • Early 20th century

What did early mathematicians use a limiting process for?

  • To understand trigonometric functions
  • To obtain better approximations of areas of circles (correct)
  • To calculate volumes of spheres
  • To solve linear equations

What is the focus of the exploration of limits in the text?

<p>Behavior of each graph at and around $x=2$ (D)</p> Signup and view all the answers

What is the limiting process used by early mathematicians to obtain better approximations?

<p>$\lim_{h \to 0}$ (B)</p> Signup and view all the answers

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