Determine whether the statement is true or false. If it is true, explain why. If it is

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Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

If f (x) > 1 for all x and limx→0 f (x) exists, then limx→0 f (x) > 1.

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