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Q: When does the limit of the sequence of set exist?
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Is the limit exists for a monotone sequence An?

If a monotone sequence An is convergent, then a limit exists for it. On the other hand, if the sequence is divergent, then a limit does not exist.


Does the limit exist for fn divided by fn-1 in the Fibonacci sequence and if so what is it?

The limit is the Golden ratio which is 0.5[1 + sqrt(5)]


Does there exists any sequence whose limit is positive but sequence is negative?

No, such a sequence is not posible.


What does limit mean in writing?

Students surely can recognize the number that is the limit of this sequence.


What is the definition of binary sequence?

A binary sequence is one in which only two different values are allowed. In computers, 1 and 0 are the conventional ones. So 10100110001 is a binary sequence. The sex of children born to a given set of parents could be b,g,g,b. This is a binary sequence. There is no conceptual limit to the length of a binary sequence.


Show that convergent sequence is bounded?

Wrong answer above. A limit is not the same thing as a limit point. A limit of a sequence is a limit point but not vice versa. Every bounded sequence does have at least one limit point. This is one of the versions of the Bolzano-Weierstrass theorem for sequences. The sequence {(-1)^n} actually has two limit points, -1 and 1, but no limit.


Why does main sequence has a limit at the lower end?

The reason main sequence has a limit at the lower end is because of temperature and pressure. The lower limit exists in order to exclude stellar objects that are not able to sustain hydrogen fusion.


Limit x approaches infinity for cos of x?

The limit does not exist.


What is a random sequence limit?

To the best of my knowledge, a random sequence limit imposes restrictions on random number generation. For example, one may want to generate random numbers such that any number does not occur consecutively three times. Another definition of a random sequence limit is the number that a sequence of random measurements of some property converge to as the number of measurements increase.


What are like surds?

the limit does not exist


A sequence is a whose domain is the set of natural number?

A sequence is a function ! whose domian is the set of natural numbers


Limit of negative 1 raised to x?

As x goes to infinity, the limit does not exist.