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Artyom0805 [142]
3 years ago
14

3.

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

2

Step-by-step explanation:

Let L be a real number.

\lim_{x \rightarrow 2}f(x) equals L if:

\lim_{x \rightarrow 2^-}f(x)=L

\lim_{x \rightarrow 2^+}f(x)=L

----------------------------

\lim_{x \rightarrow 2^-}f(x) means what does y get close to as we move x closer to 2 from the left. Please look at the orange to see what that looks like visually.

We see that y tends to 2.

This means:

\lim_{x \rightarrow 2^-}f(x)=2

-----------------------------

\lim_{x \rightarrow 2^+}f(x) means what does y get close to as we move x closer to 2 from the right. Please look at the blue to see what that looks like visually.

We see that y tends to 2.

This means:

\lim_{x \rightarrow 2^+}f(x)=2

----------------------------

Therefore,

\lim_{x \rightarrow 2}f(x)=2.

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