Question

A function f(x)=x/absolute x is
*not continuous at x=1
*continuous at x=1
plz explain and also why is it?

Answer 1

As a start, compute below two :

1) \(f(1)\)

2) \(\lim\limits_{x\to 1}f(x) \)

Answer 2

ok i got it , it will be continuous at 1 but will be discontinuous at 0 i am right ??

Answer 3

@ganeshie8

Answer 4

Is the function even defined at x = 0 ?

Answer 5

domain?

Answer 6

yes, whats the value of f(0) ?

Answer 7

undefined ? ryt

Answer 8

If the function itself is undefined at x=0, how can you talk about whether it is continuous or not at x = 0 ?

Answer 9

oook so at 1 it is continuous

Answer 10

Yes, the function is continuous at every point in its domain.

Answer 11

okk

Answer 12

thanks :)

Answer 13

btw, x = 0 is not in its domain

Answer 14

yw :)