Question

Find whether the function f(x)=2- x

x

is continuous at x=0​

Answer 1

Step-by-step explanation:

The function f(x)=2x−∣x∣ can be written as

f(x)={

2x+x

2x−x

:

:

x≤0

x>0

.

Now,

x→0−

lim

f(x)=

x→0−

lim

3x=0.

And,

x→0+

lim

f(x)=

x→0+

lim

x=0.

So we've,

x→0−

lim

f(x)=

x→0+

lim

f(x)=f(0).

So the function f(x) is continuous at x=0.

Answer 2

Answer:

0

Step-by-step explanation:

f(x) =2-x

f(2) =2-2

=0

Hope it will be help uh