A curve asymptote is a line where the distance between the curve and the line approaches 0. The function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
<h3>What are asymptotes?</h3>
A curve asymptote is a line where the distance between the curve and the line approaches 0 when one or both of the x or y coordinates approaches infinity.
The asymptotes are the values for which the function is not defined. The asymptotes of a fractional function are found by equating its denominator's factors against zero. Therefore, the value of the asymptotes is,
Now, substitute the value of x as (5/2) and 5, to know if the function is defined or not.
Since for the value of x=5, the function is defined and returns the value as 0. Thus, x=5 is not an asymptote.
Since the function is undefined for the value of x=(5/2). Thus, x=(5/2) is an asymptote.
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