## Chapter 03: General Theorem, Intermediate Forms

- Rolle's theorem
- Geometrical interpretation of Rolle's theorem
- The mean vlaue theorem
- 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

- Exercise 3.1 | View Online| Download PDF (1.16 MiB, 73837 downloads)

- Exercise 3.2 | View Online | Download PDF (772.51 KiB, 42527 downloads)

- Exercise 3.3 | View Online | Download PDF (2.59 MiB, 26457 downloads)

- Exercise 3.3 | View Online | Download PDF (695.19 KiB, 101 downloads) by Muhammad Idrees

We are very thankful to Muhammad Idrees for providing notes of Exercise 3.3

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