Limits and Continuity 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 notions of limit and continuity. Indeed, continuous function is the...

How to do piecewise functions on Desmos Graph Calculator?

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

What is a Piecewise Function? How to graph piecewise functions on desmos Certain functions are defined differently in different parts of their domain and are thus more naturally expressed in terms of more than one formula. We refer to such a function as a piecewise...

EPSILON DELTA DEFINITION OF A LIMIT: LIMIT OF A FUNCTION

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

Table of contentWhat is Epsilon & Delta definition of a limit?BRIEF EXPLANATION OF EPSILON DELTA DEFINITION OF A LIMIT: Why epsilon ϵ always comes first than delta δ?WE ARE NOW GETTING CLOSER TO THE EPSILON DELTA DEFINITION: KEEP READINGGRAPHICAL INTERPRETATION OF...