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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.
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What is class boundary in statistics?
class boundary is the midpoint between the upper class limit of a class and the lower limit class of the next class sequence when making a class interval starting at the lowest lower limit in the bottom of a table.
What is the difference between a growth factor less than 1 and growth factor greater than 1?
The answer depends on the sign of the growth factor which is less than 1. There is no factor that is "less then 1"!If the first term is 0, the growth factor has no effect.A positive growth factor less than 1 results in a sequence that decreases towards 0. A growth factor greater than 1 results in a sequence that increases without limit if the initial value is positive, or decreases without limit (towards minus infinity) if the first term is negative.
What Is A Cubic Sequence?
* A cubic sequence is a sequence in which the third level of differences (D3) is constant. * It is represented by the function tn=an3+bn2+cn+d, where D3=6a, and a does not equal zero.
What does nonconsecutive mean?
Not in a row or sequence
What is a representation of a sequence of events?
timeline
Define a monotone sequence of real numbers?
A monotone increasing sequence {r_n | n>0} is a sequence with: n>m implies r_n >= r_m A monotone decreasing sequence {r_n | n>0} is a sequence with: n>m implies r_n <= r_m A strictly monotone increasing sequence {r_n | n>0} is a sequence with: n>m implies r_n > r_m A strictly monotone decreasing sequence {r_n | n>0} is a sequence with: n>m implies r_n < r_m Theorem. All bounded monotone sequences of real numbers have a unique limit.
Does there exists any sequence whose limit is positive but sequence is negative?
No, such a sequence is not posible.
Monotone convergence theorem is true for decreasing sequence?
yes
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.
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.
What is a sentence with monotone in it?
I wouldn't have fallen asleep if the speaker had used something more than a monotone. The monotone humming of the engine soon lulled me to sleep.
What does limit mean in writing?
Students surely can recognize the number that is the limit of this sequence.
What sentence can be use with the word monotone?
She had a monotone voice.
How can the word monotone be used in a sentence?
the word monotone can be used in a sentece like this: "i dont know what monotone means"
What is the part of speech of monotone?
"Monotone" is fundamentally a noun, but in mathematics it is sometimes used as an adverb, as in the sentence, "This function is monotone increasing."
Use monotone in a sentence?
The long musical phrase was just a monotone, playing at the same pitch for some time The monotone was scary.
Can you write a sentence with the word monotone?
The Headmaster addressed the assembly in a monotone voice
