Question -
Answer -
The given function┬аf┬аis┬а
At┬аx┬а=0,
It isevident that┬аf┬аis defined at 0 and its value at 0 is 0.
Therefore,┬аf┬аiscontinuous at┬аx┬а= 0
At┬аx┬а=1,
f┬аis defined at 1 andits value at 1 is 1.
Theleft hand limit of┬аf┬аat┬аx┬а= 1 is,
Theright hand limit of┬аf┬аat┬аx┬а= 1 is,
Therefore,┬аf┬аisnot continuous at┬аx┬а= 1
At┬аx┬а=2,
f┬аis defined at 2 andits value at 2 is 5.
Therefore,┬аf┬аiscontinuous at┬аx┬а= 2