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Chapter 03: General Theorem, Intermediate Forms

BSc Calculus 3rd Chapter

What is in the this chapter?

  • Rolle's theorem
  • Geometrical interpretation of Rolle's theorem
  • The mean value theorems
  • Another form of mean value theorem
  • Increasing and decreasing functions
  • Cauchy's mean value theorem
  • Extended mean value theorem
  • Indeterminate form
  • The form $\frac{0}{0}$
  • The form $\frac{\infty}{\infty}$
  • The form $0\times \infty$ (or $\infty \times 0$)
  • The form $\infty-\infty$
  • The forms $0^\infty, 1^\infty, \infty^0$
  • Use of expansions

Solutions

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We are very thankful to Muhammad Idrees for providing notes of Exercise 3.3 <callout type=“success” icon=“fa fa-download” title=“Notes by Muhammad Idress”>

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<callout type=“success” icon=“fa fa-download” title=“Notes by Prof. M. Tanveer”>

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