Calculus & Analytic Geometry (B.A / B.Sc.)
Chapter:03 (Mean Value Theorem, Indeterminate Forms, and Expansions)
In this chapter, we will study the following topics:
- a theorem on differentiable functions
- rolle’s theorem
- michel rolle (a french mathematician)
- proof of mean value theorem
- strictly increasing function
- partial derivative
- find the value of c in mean value theorem
- cauchy’s mean value theorem
- generalized mean value theorem
- cauchy’s form of the remainder after n terms
- cauchy mean value theorem of order n
- indeterminate forms
- fundamental forms
- algebraic, geometrical and trigonometric methods
- rule of del hospital
- successive applications of del hospital
- another indeterminate form
- compound indeterminate forms
- gaussian binomial coefficient
- Taylor and Maclaurin’s series
- Maclaurin’s theorem
- Bernoulli’s numbers
- use of Leibnitz’s theorem
Online Pdf
Download
The post B.Sc Calculus Ch 3 (MV Theorem, Indet. Forms and Expansions) Notes appeared first on The College Study.