If f(1)equals5, must ModifyingBelow lim With x right arrow 1 f (x )exist? If it does, then must ModifyingBelow lim With x right arrow 1 f (x )equals5? Can we conclude anything about ModifyingBelow lim With x right arrow 1 f (x )?

Answer to all three points is NO.

Step-by-step explanation:

Case 1:

Answer : NO, It is important to note that the even if function is not defined, the limit of function can exist and it doesn't mean that f(x) must necessarily be defined at x = 1

Case 2:

Answer : No, because it could be a piece wise function even if f is defined, where f(1) might have different values while approaching from right and left side of limits.

Case 3:

No, value of f(1) can not be concluded

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

step-by-step explanation:

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