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Algebra of Limits

lim x→ 2 × 2-...

Question

$lim x \to 2 \frac{x^{2} - 4}{x + 2}$
The limit of the function is

A

0.0

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B

2

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C

4

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D

non-existent

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Solution

The correct option is A 0.0
We can directly substitute x=2 and find the limit in this problem.

$lim x \to 2 \frac{x^{2} - 4}{x + 2} = \frac{lim x \to 2 x^{2} - 4}{lim x \to 2 x + 2} = \frac{0}{4} = 0$

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