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Calculate the limit algebraically, If the limit limit goes through so or $-,$ state this answer. The limit is Drie because limit from left is not equal to limit from right.

$\underset{x-1}{lim}\frac{x^{2}6x}{x^{2}x}$

$$

State the reason for the answer of the limit$.$

The limit does not exist because the left and right limits exist but are not the same finite value.

The limit does not exist because it approaches $$ or $-.$

The limit does not exist because only one of the left or right limits exists as a finite value.

The limit does not exist because one side diverges to $$ and the other side diverges to $-.$

The limit does exist and is a finite number.

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