Question

Discuss the Continuity of f(x) = x-[x]at integer​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Answer

We have the given function

f(x)=[x]

x→n

−

lim

[x]=n−1

x→n

+

lim

[x]=x

As limit does not exist .

Hence, [x] is discontinuous at every integer.

So, [x] is continuous at any non integer value of x.