How To Approach A Left-Hand Limit In Calculus | Limits From The Left Side Of A Point

What side do you come into a left hand limit from?

the left

To approach a left-hand limit, we come from the left side of the point of interest, which means all x-values that are less than the point we are trying to evaluate the limit for.

For example, let’s say we want to evaluate the limit of a function f(x) as x approaches 2 from the left-hand side. Then, we would consider all the x-values that are less than 2, i.e., x < 2. We write this as: lim(x → 2^-) f(x) Here, the superscript - represents that we are approaching from the left side of 2. In this case, we only consider values of x that are less than 2, and the limit exists only if the function approaches the same value from both the left and right sides of 2.

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