Lim x → c- f(x) = L to denote "the limit of f(x) as x approaches c from the left is L" If f(x) has different right and left limits, then the two-sided limit ( lim x → c f(x)) does not exist. If f(x) never approaches a specific finite value as x approaches c, then we say that the limit does not exist. If the limit of f(x) as x approaches c is the same from both the right and the left, then we say that the limit of f(x) as x approaches c is L. If f(x) eventually gets closer and closer to a specific value L as x approaches a chosen value c from the left, then we say that the limit of f(x) as x approaches c from the left is L.
If f(x) eventually gets closer and closer to a specific value L as x approaches a chosen value c from the right, then we say that the limit of f(x) as x approaches c from the right is L.
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