Asymptote

Let A be a curve defined parametrically by x = x(t), y = y(t). Say A goes to infinity at t=t0 if either x(t) or y(t) goes to ±∞ as t approaches t0, where t0 may itself be ±∞. In this case, a curve B is said to be an asymptote of A if the distance between (x(t), y(t)) and B approaches 0 as t approaches t0.

There are many different cases that can be treated separately, such as linear asymptotes (below), although intuitively the two functions become arbitrarily close.

A specific example of linear asymptotes can be found in the graph of the function f(x) = 1/x, in which two asymptotes are seen: the horizontal line y = 0 and the vertical line x = 0.

There are multiple ways of interpreting asymptotic behavior. In particular the statement "A function f(x) is said to be asymptotic to a function g(x) as x → ∞" has any of at least three distinct meanings:

f(x) − g(x) → 0.
f(x) / g(x) → 1.
f(x) / g(x) has a nonzero limit.
More formally, curves A and B are asymptotic if and only if there exist continuous functions

CRAAAAAAAAAAAAAAAAP!!!
naisip ko na yan e. baka asymptotic ang relationship namin ng prince charming ko. kasi parang up to now, di pa din niya ko makita. minsan tingin ko yun na pero di pa pala. lumalapit pero di dumidikit. o diba? pinacomplicate ko lang by comparing it sa asymptote.tingin nyo? baka mahina sya sa direction hmmm di ako makakpayag niyan!! magaala-hansel ako at maglealeave ako ng trail!

o kaya eto...

hmmm or this..

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