One sided limits
lim x–> 2^- (approaches from the left)lim x–> 2^+ (approaches from the right)Usually solved the same, sometimes you need to plug in something close to get a number. They look different on a graph.
A one-sided limit is a mathematical concept that refers to the behavior of a function as the input values of the function approach a certain point from one direction. Essentially, a one-sided limit determines the value of a function as it approaches a certain point from either the left or right side.
One-sided limits are represented using the following notation:
Lim f(x) as x approaches a from the left = L-
Lim f(x) as x approaches a from the right = L+
The left-hand limit or the limit from below refers to the value of the function as it approaches the point from values slightly less than the point. Similarly, the right-hand limit or the limit from above refers to the value of the function as it approaches the point from values slightly greater than the point.
If the value of the one-sided limits exists and is equal, then the function has a two-sided limit at that point. If the values of the one-sided limits are not equal, then the limit does not exist.
One-sided limits are an important concept in calculus, as they allow us to analyze the behavior of functions at specific points and can help determine the continuity of functions.
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