Limits | Continuity of Inverse Functions and Intermediate Value Theorem and Finding Root | 8 |

In this video we will explain 2 concepts:
1. Continuity of an Inverse function with application
2.The intermediate value theorem

f k is a value between f(a) and f(b), i.e. either f(a) is smaller than k is smaller than f(b) or f(a) is larger than k is larger than f(b)

then there exists at least a number c within a to b i.e. c ∈ (a, b) in such a way that f(c) = k

This has an important consequence in finding root of a function.

If f is a function which is continuous at every point of the interval [a, b] and f(a) is smaller than 0, f (b) is larger than 0 then f (x) = 0 at some point x ∈ (a, b).

Lectures on Continuity

Limits | Introduction to the Concept of Limits | An Intuitive Approach | 1 |

Limits | One Sided Limits | 2 |

Limits | Infinite Limits and Vertical Asymptotes | 3 |

Limits | limits at Infinity and Horizontal Asymptotes |4 |

Limits | Concept of Continuity |5|

Limits | Continuous Functions on Open and Closed Intervals | 6 |

Limits | Continuity of Polynomials, Rationals and Composition | 7 |

This is useful for those who are preparing

1. Basics of MAEconomics entrance exam
2. BA Economics
3. BA Mathematics
4. Basic Calculus