Zero Limit
Definition
A zero limit occurs when a function approaches zero as x approaches a certain value. This means that as x gets closer to that value, f(x) gets arbitrarily close to zero.
Analogy
Imagine you have a water faucet with adjustable flow rate. As you turn down the knob, less and less water comes out until eventually, it reaches zero flow. The knob position where no water flows corresponds to the zero limit.
Related terms
Asymptote: An asymptote is a line that a curve approaches but never touches or crosses. It can be horizontal, vertical, or slanted.
Discontinuity: A discontinuity occurs when there is an abrupt break or jump in the graph of a function.
Rational Function: A rational function is any expression made up of polynomial functions divided by each other. It can have vertical asymptotes and holes in its graph.
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