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Examples of bounded and not convergent sequence?
(0,1,0,1,...)
What are examples of convergent boundaries?
A convergent boundary is a deforming region where two tectonic plates or fragments move toward each other and collide. Some examples are; the forming of the Himalayas, New Zealand, and the Aleutian Islands.
What is a MacLaurins series?
A maclaurin series is an expansion of a function, into a summation of different powers of the variable, for example x is the variable in ex. The maclaurin series would give the exact answer to the function if the series was infinite but it is just an approximation. Examples can be found on the site linked below.
Condition for an infinite geometric series with common ratio to be convergent?
The absolute value of the common ratio is less than 1.
Is it true when a sequence is divergent then its subsequences are divergent explain?
Not always true. Eg the divergent series 1,0,2,0,3,0,4,... has both convergent and divergent sub-sequences.
Give example of convergent series which is not summable?
1 + 1/2 + 1/3 +1/4 ... is one such
Examples of bounded and not convergent sequence?
(0,1,0,1,...)
What is absolute convergence for an alternating series?
Absolute convergence for an alternating series refers to the situation where the series formed by taking the absolute values of its terms converges. Specifically, if an alternating series takes the form ( \sum (-1)^n a_n ), where ( a_n ) are positive terms, it is said to be absolutely convergent if the series ( \sum a_n ) converges. Absolute convergence implies convergence of the original alternating series; hence, if an alternating series is absolutely convergent, it is also convergent in the regular sense.
What are examples of convergent boundaries?
A convergent boundary is a deforming region where two tectonic plates or fragments move toward each other and collide. Some examples are; the forming of the Himalayas, New Zealand, and the Aleutian Islands.
What are the examples of convergent beam of light?
Examples of convergent beams of light include light passing through a converging lens, sunlight focusing through a magnifying glass to a point, and laser light converging to a tight spot.
What are mountains associated with convergent plate boundaries?
The mountains that are associated with convergent plate boundaries are mountain ranges or mountain belts. Examples of a mountain range is the Andes.
What is the difference between a convergent and divergent series?
Those terms are both used to describe different kinds of infinite series. As it turns out, somewhat counter-intuitively, you can add up an infinitely long series of numbers and sometimes get a finite sum. And example of this is the sum of one over n2 where n stands for the counting numbers from 1 to infinity. It converges to a finite sum, and is therefore a convergent series. The sum of one over n is a divergent series, because the sum is infinity.
What is metric series?
A metric series is a sequence of numbers or terms that are measured according to a specific metric or standard, often used in mathematics and statistics to analyze convergence or divergence. In a broader context, it can refer to series that are defined in relation to a metric space, where the distance between points determines the behavior of the series. Common examples include convergent series in real analysis, where the terms approach a specific value as the series progresses.
Can properties of a function be discovered from its Maclaurin series Give examples.?
Best example is that an "odd" (or "even") function's Maclaurin series only has terms with odd (or even) powers. cos(x) and sin(x) are examples of odd and even functions with easy to calculate Maclaurin series.
What is the difference between a convergent and divergent series and how can you tell which is which?
A convergent series runs to the X axis and gets as close as you like; close enough, fast enough to take an area under the curve. 1/X2 as simplified example, sans series paraphernalia A divergent series does not approach the X axis close enough or fast enough to converge adequately on the axis. 1/X
Are seals and dolphins examples of convergent evolution?
Yes, seals and dolphins are examples of convergent evolution. Despite having different ancestors, they have evolved similar streamlined body shapes, flippers, and adaptations for swimming in their aquatic environments. This convergence is a result of facing similar environmental pressures in their habitats.
What are examples convergent boundary?
Examples of convergent boundaries include the Himalayan mountain range (where the Indian Plate is colliding with the Eurasian Plate), the Andes mountain range (where the South American Plate is subducting under the Nazca Plate), and the Mariana Trench (where the Pacific Plate is subducting beneath the Mariana Plate).
