Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2 +10x+ 24) /( x+6) #?

1 Answer

Nov 25, 2017

There is a removable discontinuity at #-6#

Explanation:

#f(-6)# does not exist, so #f# is not continuous at #-6#, but

#lim_(xrarr-6)(x^2+10x+24)/(x+6) = lim_(xrarr-6) (x+4) = -2#

so the discontinuity is removable.

Related questions

See all questions in Classifying Topics of Discontinuity (removable vs. non-removable)

Impact of this question

1319 views around the world

You can reuse this answer
Creative Commons License