00:01
The given function here is f of x equals, this is a piecewise function, that is x when x is less than or equals 1.
00:14
It is 1 if x is greater than 1, but less than equals 2.
00:21
That it is 3 if x is greater than 2.
00:27
So we have to examine the continuity of this function.
00:31
So for that, first of all, we will consider for x less than equals 1.
00:37
Since f of x is equals x is continuous everywhere since this is a linear function.
00:45
So linear function is continuous in his domain.
00:49
So, this is continuous.
00:55
Now we will consider left hand limit at x equals 1.
01:11
So that will be limit x tends to 1 minus since we are considering left hand limit.
01:23
So for that function will be x...