Then G of X has to also be approaching three, so the limit of G of X as X approaches to is three. This gets closer three and a G of X is in between them. Okay, G fx is between the two of these as extras approaching two. Uh that if a function is between two other functions and those two other functions approach the same limit, then that function in between that squeezed in between must approach the same limit. And so we have what's called the squeeze theorem for limits. Remember that G fx was between those two functions. So as X approaches to this function approaches three and this function approaches three.
#Squeeze theorem calculator plus
We have four minus four which is zero at the moment plus three is three. So two squared is four minus two times two, which is four. So to uh find a limit of X squared minus two, X plus three as X is approaching two, we can just substitute to win for X. Now let's look at the X squared minus two, X plus three function, that's a continuous function. So as X approaches to the two x minus one function approaches three. A graphing calculator is permitted for parts of the exam.May 1st, 2018 - Calculus AB Practice Exam page 2 of.
Since this is a continuous function, uh we can simply just plug in substitute to infer X, so two times X minus 12 times two minus one is three. Well, first let's see what happens to the function two, X minus one as X approaches to. So G fx is between these two uh functions Now we want to calculate the limit of G of X as X approaches to. Okay in this problem we have two, X minus one is less than or equal to G of X, which in turn is less than or equal expert minus two.
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