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.

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Continuous Function at a Point

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Directional Continuity

Left-continuous function

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Right-continuous function

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Discontinuity

Removable Discontinuity

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Jump Discontinuity

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Essential Discontinuity

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Emma

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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

Continuity Formulas

Limit Formulas

Exercises

Limits Worksheet

Continuity Problems

Limit Problems

Intermediate Value Theorem Problems

Continuity Worksheet

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Laura

February 2024

Correct equals infinity equals 16 but not true. It’s it’s six it’s infinity.

TonyL

September 2023

And this, my friends, is why humans will be conquered by AI… so many logic holes it’s… well, infinite. lol

Raj

May 2023

Is 0^infinity ( zero to the power infinity) indeterminate form? How?

Tara Kapali

May 2023

Didn’t Cantor proved that there are a group of infinities (the Aleph zero & Aleph one sets, for example)? And these are grouped around the concept of infinite to the power infinity, if I remember correctly .

Dhayq

July 2022

Exercise 3
I think it is discontinuous at 0

rohit

September 2020

exercise 2 : the function is not defined for x= 0.

rohit

September 2020

exercise 1 q 5 The function has a jump discontinuity at x = 1, should be x=0.