Prove the Limit Statement
-Identify the Incorrect Statements About Limits $\epsilon$

question 161

Multiple Choice

Prove the limit statement
-Identify the incorrect statements about limits.
I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.
II) The number L is the limit of f(x) as x approaches x0 if, for any $\epsilon$ > 0, there corresponds a $\delta$ > 0 such that $\mid f(x) - L \mid$
< $\epsilon$ whenever 0 < $\mid x - x_{0} \mid$ < $\delta$ .
III) The number L is the limit of f(x) as x approaches x₀ if, given any $\epsilon$ > 0, there exists a value of x for which
$\mid f(x) - L\mid$ < $\epsilon$ .

• A) I and II
• B) II and III
• C) I and III
• D) I, II, and III

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