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User avatar #4 - runelh (01/22/2013) [-]
Whats an asymptote?
User avatar #8 to #4 - alleksi (01/22/2013) [-]
to put it simply an asymptote is when a function approaches a certain value, but never actually reaches it, it just keeps going and going, always getting closer and closer, but it will never reach it.

so in this case, lets say that the wall is two meters away from the frog. the frog takes a leap that is half the distance from the wall, so it leaps one meter. now that the frog is one meter away from the wall, he'll jump half the distance again, so he jumps half a meter. he's not quite there yet but getting close. again he'll jump half the distance, so that would be a quarter meter of a jump, still getting closer to the wall but still not reaching it. this continues on and on and the distance gets smaller, but so do the leaps. soon he'll be so close to the wall that he is practically touching it. he's so close to the wall that just a mere atom on the tip of his nose could slightly brush the wall, but he makes a jump so small, that it's practically zero meters in length. mathematically speaking he will never touch the wall. that's an asymptote.

User avatar #5 to #4 - PrismaLowell (01/22/2013) [-]
An asymptote is a line that approaches, but never reaches 0. For example if you walk to a store and walk half the distance to the store, and then half the distance from the midpoint you will never reach 0 because you are walking half the previous distance.
If I didn't explain good enough here is a link:

http:// mathworld.wolfram. com/Asymptote.html
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