Question

Which is continuous for all real values of x?
A. (x^2+5)/(x^2-1)
B. 3/(x^2+1)
C. |x-1|

Answer 1

x^2+1 is never 0
|x-1| has no derivative at x=1
x^2-1=0 at x=1
what can you say?

Answer 2

It would be be A then right?

Answer 3

how?

Answer 4

@surjithayer differentiability is not a requirement for continuity, but the other way around.

Answer 5

agreed

Answer 6

then both B and C are continuous

Answer 7

Okay that makes sense, thank you!

Answer 8

i was thinking other way but i was wrong
so B and C