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...
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...
What is a Piecewise Function? 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 function or a piecewise-defined function....
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...
Rolle’s Theorem ContentRolle’s theorem statement: What are its three conditions? Rolle’s Theorem ProofGeometric Interpretation Of Rolle’s TheoremExamples: How do you find ‘c’ in Rolle’s theorem?Discuss the validity of Rolle’s theorem. Find...
