Question

it's urgent....

Class 12th ​

Answer 1

Answer:

2)

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.

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