00:01
Hi, in our problem, we are given the limits of limit of x minus 2 as x approaches 0, and the limit of 3 plus x as x approaches 1 half, or x define those limits.
00:19
Now, this problem touches on the consensus of the limits and continuity, and limits of functions using the properties of limits.
00:27
Or as i like to think about it, using the established properties of limits to find the limits of functions, which is just established things that we already know about limits.
00:39
And in this case, what we really know is that when it comes to these types of limits where you have x minus something or x at all, really, in a sort of function position of the limit, we just plug it in.
00:55
So you can think a bit like this, the limit x as it approaches some.
01:07
Value and then you have x here we're just plugging in this wherever x is in our function so whatever you see x we're just plugging in this a so we look at our first limit you see that our a is zero so we plug in zero wherever x is here so we plug x so we put zero in for x we get zero minus 2 and we get negative 2...