To explain: The meaning of and check whether this statement is true for or not.
The meaning of is, as x approaches 2, f (x) gets closer and closer to 5.
The statement is true.
Suppose the function is defined for all near but not exactly at .
The exists if gets arbitrarily close to as gets sufficiently closer (but not equal) to from both sides of .
Therefore, the limit of the function exists and equal to when x approaches 2 and it can be written as .
Possibly this statement is true for as the limit depends upon the functional values near to 2 but not exactly at 2.
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