Articles on Calculus Archives

Squeeze Theorem & Continuity Of Trig-Functions|| Proofs & Examples

by Maria | Jan 11, 2022 | Articles on Calculus, Education, Limits and Continuity, Mathematics

What is this squeeze theorem? How it is useful? Where do we take this squeezing stance in the field of Calculus? Well, graphs of trigonometric functions are sketched by intuitive considerations because two concepts of Calculus, continuity & differentiation, are...

Continuous Function | Removable, essential, and jump discontinuities?

by Maria | Jan 5, 2022 | Articles on Calculus, Limits and Continuity

The two underlying mathematical operations in Calculus are Differentiation & Integration. These operations involve the computation of the derivative and the definite integral, each based on the notion of limit and continuity. Indeed, a continuous function is the...

Piecewise Function | How to graph piecewise functions? | Intro & Uses

by Maria | Oct 25, 2021 | Articles on Calculus, Differential Calculus, Limits and Continuity

PIECEWISE FUNCTION: How to Graph Piecewise Defined Functions? Brief Introduction, Examples and Uses:- IntroductionExamples: How to Graph Piecewise-Defined Function?How to use piecewise function calculator to sketch its graph?Learn how to use Desmos Graphing Calculator...

EPSILON DELTA DEFINITION OF LIMIT: LIMIT OF A FUNCTION

by Maria | Aug 7, 2021 | Articles on Calculus, Limits and Continuity, Mathematics

EPSILON DELTA DEFINITION OF LIMIT: LIMIT OF A FUNCTION Table of Content: INTRODUCTIONBRIEF EXPLANATION OF EPSILON DELTA DEFINITION OF LIMIT:Why epsilon ϵ always comes first than delta δ?WE ARE NOW GETTING CLOSER TO EPSILON DELTA DEFINITION: KEEP READINGGRAPHICAL...

Rolle’s Theorem: A Special Case Of Lagrange’s Mean Value Theorem

by Maria | Jul 26, 2021 | Articles on Calculus, Differential Calculus

Rolle’s Theorem: A Special Case Of Lagrange’s Mean Value Theorem CONTENT: Rolle’s theorem statement: What are its three conditions? Rolle’s Theorem ProofGeometric Interpretation Of Rolle’s TheoremExamples: How you find ‘c’ in Rolle’s thorem?Discuss...