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What sequence has no upper bound but does not tend to infinity?
If I understand your question correctly, such a sequence is an = x cos(πx). It has neither an upper nor lower bound. It's divergent, but its limit is neither infinity nor negative infinity.
What does limit mean in writing?
Students surely can recognize the number that is the limit of this sequence.
What is limit as x approaches 0 of cos squared x by x?
The limit of cos2(x)/x as x approaches 0 does not exist. As x approaches 0 from the left, the limit is negative infinity. As x approaches 0 from the right, the limit is positive infinity. These two values would have to be equal for a limit to exist.
What is convergence in numeric math?
A sequence of numbers, xn (where n = 1, 2, 3, ...), is said to converge to a limit L if, given any positive e, however small, it is possible to find an integer k such that |xn - L| < e for all n > k.In other words, after a certain point (k) all terms of the sequence are closer to the limit (L) than any tiny number.
What is the limit of the ratio of consecutive terms of the Fibonacci sequence?
The limit of the ratio is the Golden ratio, or [1 + sqrt(5)]/2
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.
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.
What is the limit of trigonometric function csc 2x cos 5x as x tends to zero?
The answer depends on the side from which x approaches 0. If from the negative side, then the limit is negative infinity whereas if from the positive side, it is positive infinity.
What are the positive and negative consequences of a president having a limit of two terms?
one positive is that it gives the president an equal of ruling as President
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 government's role in controlling externalities in the American economy?
Government tries to encourage positive externalities and limit negative externalities..
What is governments role in controlling externalizes in the American economy?
Government tries to encourage positive externalities and limit negative externalities..
What is government role in controlling externalities in the American economy?
Government tries to encourage positive externalities and limit negative externalities..
What is government's role in controlling externalizes in the American economy?
Government tries to encourage positive externalities and limit negative externalities..
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 sequence has no upper bound but does not tend to infinity?
If I understand your question correctly, such a sequence is an = x cos(πx). It has neither an upper nor lower bound. It's divergent, but its limit is neither infinity nor negative infinity.
How many positive integers are divisible by 3 5 and 7?
There are an infinite number of positive integers divisible by 3, 5, and 7. This is because there is no limit to numbers and they go on indefinitely in both a positive and a negative direction.
