Chapters

Continuous Function at a Point
Directional Continuity
Discontinuity

Sometimes, searching for formulas can be frustrating, hence, having a formula sheet helps you in solving problem easily. Instead of searching a single formula, you can easily look up formulas written on a separate page. That is why we came up with this idea to save your time and effort. Below are the formulas related to solving the continuity of functions.

Continuous Function at a Point

$\exists f(a)$

$\exists \lim_{ x \rightarrow a } f(x) \Leftrightarrow \lim_{ x \rightarrow { a }^{ - } } = \lim_{ x \rightarrow { a }^{ + } } } f(x)$

$f(a) = \lim_{ x \rightarrow a } f(x)$

The best Maths tutors available

Continuity Formulas

Continuous Function at a Point

Directional Continuity

Left-continuous function

Right-continuous function

Discontinuity

Removable Discontinuity

Jump Discontinuity

Essential Discontinuity

Theory

One to the Power of Infinity

Zero Over Zero

Calculating Limits

Continuity

Continuous Function

Continuity on a Closed Interval

Discontinuity

Division by Zero

Essential Discontinuity

Intermediate Value Theorem

Jump Discontinuity

Limit

One-Sided Limit

Indeterminate Forms

Zero Times Infinity

Infinity Minus Infinity

Infinity over Infinity

Properties of Infinity

Extreme Value Theorem

Bolzano’s Theorem

Limits at Infinity

Infinite Limit

Limit of a Logarithmic Function

Removable Discontinuity

Limit of an Exponential Function

Limit Rules

Formulas

Limit Formulas

Exercises

Limits Worksheet

Continuity Problems

Limit Problems

Intermediate Value Theorem Problems

Continuity Worksheet

Cancel reply