Another look on continuous functions.

Calculus Tutorial

Another look on continuous functions.

Intro

The definition of Continous Functions may be a little hard to understand, so lets give it another look on how you can conclude that a function is continuous.

Sample Problem

Lets see the following function:
F(x) = 2x

Limit 2x = f(c)
x->c

This may sound really confusing for some people, but what it basically says is that:
“A function is continuous if you can draw its graph without taking the pen out of the paper”.

This may sound unsophisticated, and it really is, but when you find yourself in a situation that you can’t see if the function is continuous or not, this may help you.

Solution

Above you can see that the function A can be drawn without taking the pen out of the paper, while the second graph can not.



About The Author

Calculus Expert
Studying at UNESP, one of the best universities in brazil. Currently, one of the top 10 students of the university. Had a really easy time with any topic of calculus or pre-calculus. Got my own exercises and activities for you to learn how to solve anything that shows up.
2 Subjects
KnowRo Tutor
1 Tutorial
Nova York, NY
Get Tutoring Info

Suggested Tutors for Calculus Help

Lance L

Frederick, MD

Math, Chemistry And Physics Tutor

Pratik P

Ashburn, VA

Math Expert, SAT Instructor, AP Math, SAT Subject Tests Physics Chemistry Math

Siddarth C

Vienna, VA

All Subjects

Anjali C

Ashburn, VA

Math Expert

^