![]() ![]() Well, if I take the absolute value it's going to be the exact same thing, so let me. I'm going to get a positive value up here and then I'm. ![]() When x is greater than three, what does this function simplify to? Well, whatever I get up here, I'm just taking the. Let's say that f(x) is equal to the absolute value of x minus three over x minus three and what I'm curious about is the limit of f(x) as x approaches three and just from an inspection you can see that the function is not defined when x is equal to three - you get zero over zero: it's not defined So to answer this question let's try to re-write the same exact function definition slightly differently So let's say f(x) is going to be equal to - and I'm going to think of two cases: I'm going to think of the case when x is greater than three and when x is less than three So when x is - I'll do this in two different colors actually When x - I'll do it in green - that's not green When x is greater than three.
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