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what is a epsilondelta definition of limits in easy language
 one year ago
 one year ago
what is a epsilondelta definition of limits in easy language
 one year ago
 one year ago

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zoolgothBest ResponseYou've already chosen the best response.0
The concept of limit says that as x approach c the function f(x) tends to L. That is the less the distance from c the closest the function to L. Now, think of epsilon and delta as "error" and "distance" respectively. Epsilon is the desired level of proximity of the function to L and delta the distance from the point c (on both side of the real line in one variable, hence the absolute value). The delta epsilon definition can be thought as a game. The opponent pick an error (epsilon) and I will always be able to find a distance for which all the points within that distance will have a f(x) value closer to L. It doesn't matter how small the error, I will always find a suitable distance, because the closest x is to c the nearest the function is to L. Hope it doesn't make more confusion.
 one year ago

raghvendracBest ResponseYou've already chosen the best response.0
In same line as zoolgoth, Please read Conversation given Below.. AamirKhanday: Hey Raghav, I(f) am very sad. Now, My(f) desired degree of closeness with L is epsilon. Can you help me in finding any more x's ? Raghvendrac: Hello Aamir, Don't worry friend. Don't you remember.. "L is your Limit at c". I can always give you infinitely many points for any of your desired closeness with L. I can always find infinitely Many close friends(Delta Nbd) of c which will work for you (To get closeness with L).
 one year ago

zofi51Best ResponseYou've already chosen the best response.0
first understand what are epsilon,delta, x and f(x) then understand the concept of closeness. also the concept of infinitesimals. after understanding these concepts precisely u will be able to understand the epsilondelta definition of limits search wikipedia and this http://archives.math.utk.edu/visual.calculus hope it will help!
 one year ago
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