Question

Show that f(x) = [x] is not continuous at x=n , where n is an integer .

Answer 1

Answer:

we have f (n) = [n] =n <br>

<br>

<br> Thus,

does not exist Hence, f(x) is discontinuous at x=n.

Step-by-step explanation:

Hope it would help you. And please mark it as brainliest and please follow me.

Answer 2

Answer:

Step-by-step explanation: answer:-  We have f (n) =[n] = n

lim  f= (x) = lim f (n+h] = lim [n+h] =n[.. [n+h] =n

x-n+             h-o               h-o

lim f (x)= lim f (n-h) = lim (n+h) = (n-1) [... [n-h= (n-1

x-n-           h-o              h-o

)]

Thus lim f(x) +lim f (x) and therefore lim does not exist hence f (x) is discontinuous at x= n