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Mathematics
Problem
Does the limit
lim
x
→
2
x
2
+
1
x
−
2
\displaystyle\lim_{x\to 2}\frac{x^{2}+1}{x-2}
x
→
2
lim
x
−
2
x
2
+
1
exist? State the limit if it exists, or briefly justify why it does not exist.
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