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Curved asymptotes?

For a function like

y = sqrt(x) + 1 / x, as x-> infinity, 1 / x -> 0 so the curves resembles y=sqrt(x) at large x. Would this be considered as an asymptote approaching y=sqrt(x), and if so is it represented as a dotted line along the curve y=sqrt(x) ?
Original post by AHappyStudent
For a function like

y = sqrt(x) + 1 / x, as x-> infinity, 1 / x -> 0 so the curves resembles y=sqrt(x) at large x. Would this be considered as an asymptote approaching y=sqrt(x), and if so is it represented as a dotted line along the curve y=sqrt(x) ?


y=xy=\sqrt{x} is indeed an asymptote to that curve, and asymptotes are represented as 'dotted' functions on the same graph as your main function.
Original post by RDKGames
y=xy=\sqrt{x} is indeed an asymptote to that curve, and asymptotes are represented as 'dotted' functions on the same graph as your main function.


Thanks :smile:

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