Question

limit x approches to zero then mode of x by x​

Answer 1

Answer:

Does not exist

Explanation:

For

x

<

0

,

|

x

|

x

=

−

x

x

=

−

1

For

x

>

0

,

|

x

|

x

=

x

x

=

1

Thus

lim

x

→

0

−

|

x

|

x

=

−

1

lim

x

→

0

+

|

x

|

x

=

1

So the limit does not exist.

graph{|x|/x [-10, 10, -5, 5]}