lim x->infinity g(x) = 0
Definition
This term refers to the limit of a function as x approaches infinity, where the output becomes arbitrarily close to zero.
Analogy
Imagine shooting an arrow into outer space. As it travels farther away from Earth, its distance from any target on Earth becomes smaller and smaller until it reaches zero.
Related terms
Horizontal asymptote at y = 0: When the graph of a function gets closer and closer to the x-axis as x approaches positive or negative infinity.
Infinite limit: A limit that does not exist because the function grows without bound as x approaches a certain value.
Exponential decay: A type of function where the output decreases rapidly over time.
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