Define A Limit First

Calculus Level 2

If lim ⁡ x → 0 f ( x ) = 0 \displaystyle \lim_{x\to0} f(x) = 0 , then which of the following must be true?

f ( 0 ) = 0 f(0) = 0 f ( 0.0001 ) = − 0.0001 f(0.0001) = -0.0001 None of these choices All of these choices f ( 0.0001 ) = 0.0001 f(0.0001) = 0.0001

Pi Han Goh by Pi Han Goh , 30, Malaysia

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