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Question
If the limit of f(x) as x approaches 2 is 4, can you conclude anything about f(2)? Explain reasoning
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Solution
`lim_(x -> 2)` = 4
`lim_(x -> 2^-) f(x) = lim_(x -> 2^+) f(x)` = 4
When x approaches 2 from the left or from the right f(x) approaches 4.
Given that `lim_(x -> 2^-) (x) = lim_(x -> 2^+)f(x)` = 4
The existence or non-existence at x = 2 has no leaving on the existence of the limit of f(x) as x approaches to 2.
∴ We cannot conclude the value of f(2).
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