Question: Prove that (x) = |x| is continuous for all x. To prove continuity at x = 0, consider the one-sided limits.

Prove that ƒ(x) = |x| is continuous for all x. To prove continuity at x = 0, consider the one-sided limits.

Step by Step Solution

3.46 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let c 0 Then lim fx lim x lim x c c fx XC XC XC and f is continuous at x c 0 Next let c 0 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!