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An asymptote is a line that a graph approaches but never touches or crosses. Asymptotes are useful in understanding the behavior of graphs at extremes and in identifying limits, especially for functions that extend towards infinity.
In calculus, the concept of limits at infinity is used to describe the behavior of a function as the input (or the variable) approaches infinity. This helps in understanding how functions behave when their inputs get very large in either the positive or negative direction.
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