When we say "x approaches a specific value," it means that the variable x gets arbitrarily close to that particular value without actually reaching it.
Imagine you are trying to hit a target with an arrow. As you shoot the arrow, it gets closer and closer to the bullseye but never quite hits it. Similarly, when x approaches a specific value, it gets infinitely close to that value but never actually reaches it.
Limit: The limit of a function represents the value that the function approaches as its input (x) gets arbitrarily close to a certain point.
Asymptote: An asymptote is a line or curve that a graph approaches but never touches. It can be horizontal, vertical, or slanted.
Converge/Diverge: When a sequence or series of numbers converges, it means that its terms approach a finite limit. On the other hand, if they do not approach any finite limit, they diverge.
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