Notes of the Calculus with Analytic Geometry written by by S.M. Yusuf and Muhammad Amin published by Ilmi Kitab Khana, Urdu Bazar, Lahore.

Chapters-03 Topics and Exercises

  • Rolle's Theorem
  • Geometrical Interpretation of Rolle's Theorem
  • The Mean Value Theorem (M.V.T)
  • Another form of the Mean Value Theorem
  • Increasing and Decreasing Functions
  • Cauchy's Mean Value Theorem
  • Exercise 3.1
  • Extended Mean Value Theorem
  • Exercise 3.2
  • Indeterminate Forms
  • The Form \frac{0}{0}
  • The Form \frac{\infty }{\infty }
  • The Form 0 \times \infty \,\left( {{\text{or}}\,\infty \times 0} \right)
  • The Form \infty -\infty
  • The Forms {0^0},\,\,{1^\infty },\,\,{\infty ^0}
  • Use of Expansions
  • Exercise 3.3