5

Find each of the following limits:62 62r - %3 Jitn 22 +"r +55IAIkS)(8+vr+&)' Iiu 121 +6r 132" + 421"ItkA)...

Question

Find each of the following limits:62 62r - %3 Jitn 22 +"r +55IAIkS)(8+vr+&)' Iiu 121 +6r 132" + 421"ItkA)

Find each of the following limits: 62 62r - %3 Jitn 22 +"r +55 IAIkS) (8+vr+&)' Iiu 121 +6r 132" + 421" ItkA)



Answers

Determine which of the following limits exist. Compute the limits that exist. $$\lim _{x \rightarrow 6}\left(\sqrt{6 x}+3 x-\frac{1}{x}\right)\left(x^{2}-4\right)$$

Problem with 23 women as X approaches six of X squared minus six X over X squared minus five X minus six. Can't plug in six because we got X minus six in the Dominator. So we cancel that out with the top I factoring X in the top so we're left with X over X plus one thing. We plug in six to get 6/7.

From number 20 limit as X approaches three of X squared minus X minus six over X minus three. We can't plug in three, but we can fax your X minus three, giving his X plus two. Then we plug in three and we get five.

Problem. Number 13 LTD's X approaches seven of X plus square two X minus six X squared when it's two x plus one. So we fucking seven. There's nothing we need to worry about, so it comes out to seven plus one times seven minus one squared and that's you go to 88.

We need to evaluate the limit where X Y goes to six on 24 X square, minus three X y divided by X minus three. Right, so we can simplify this expression on related as equal to limit X Way goes to 62 with X common in the numerator over. Get X minus three by divided by X minus three way such that X minus tree. Why gets canceled on? We're only left with limit X Y goes to 62 x So now, using the loft limits and evaluating at X equal to six will get the answer is equal to six.


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