This video explains how to tell if a function is continuous or discontinuous using limits (one sided or both) in the 3 conditions (definition and meaning) of the continuity test (using the graph or ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Maths Continuity and Differentiability Formulas: Calculus comprises nearly half of the curriculum of the CBSE class 12 mathematics syllabus. Chapter 5 Continuity and Differentiability is one of the ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

The counterexamples presented here are the first of this kind for notions of differentiability that satisfy a chain rule. Their context arises naturally from requiring differentiability of crucial ...

NCERT Solutions for Class 12 Maths Chapter 5: Students get here accurate and comprehensive NCERT Solutions for Class 12 Maths Chapter 5 for the 2025 exams. Continuity and Differentiability is the ...

MAT1100U is a continuation of high school calculus, but goes deeper into the theoretical foundations and develops the methods further in order to deal with more complicated cases. The course also ...

Prerequisites: Credit for MATH 2312 with a grade of C- or higher, or a satisfactory score on a placement examination. Course Description: Calculus of single variable functions, limits, continuity, ...

The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, ...

Maths 12th Continuity and Differentiability MCQs: The Central Board of Secondary Education (CBSE) holds the term-end board exams for class 12, which is considered among the top and hardest exams in ...