Question

$\large\red{\sf{Question}}$
$\small\purple{\sf{find \: the \: values \: of \: x \: where \: \: }} {\pink{f(x) }}$
$\small\purple{\sf{is \: discontinuous}}$
Answer only
Mathdude
Fahims​

Answer 1

The given function g(x) is defined at all integral points.

Let n be an integer.

Then g(n)=n−n=n−n=0

L.H.L. at x=n=lim

x→n

−

g(x)=lim

x→n

−

(x−[x])=n−(n−1)=1

R.H.L. at x=n=lim

x→n

+

g(x)=lim

x→n

+

(x−[x])=n−n=0

Since L.H.L.



=R.H.L.

Therefore g is not continuous at x=n. i.e.,

Answer 2

Answer:

Any function f(x) will be discontinuous at x -values that make the function undefined. Here, that will simply be any x -value that creates a "division by zero". So division by zero occurs when x=±3 .

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