Question

Find the points of discontinuity of the function

$f(x) = x + \frac{x + 2 }{ |x + 2| }$
​

Answer 1

Answer:

⇒lim

x→2

−

f(x)=

h→0

lim

f(2−h)=

h→0

lim

∣2−h−2∣=

h→0

lim

∣−h∣=0

x→2

+

lim

f(x)=

h→0

lim

f(2+h)=

x→0

lim

∣2+h−2∣=∣h∣=0

and f(2)=∣2−2∣=0

⇒f is continuous at x=2.

solution

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SIMILAR QUESTIONS

star-struck

Examine the continuity of the function f(x)=2x

2

−1 at x=3.

Easy

View solution

>

Examine the continuity of the function :

f(x)=2x

2

−1 at x=3.