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These are some series (not the summation of series) that converge: 1/n
1/n2
(a/b)n if a/b < 1 or = 1
sin(1/n)
cos(1/n)
sin(nπ) π = pi
cos([2n+1]π/2)
e-n
(n+2)/n
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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,...)
Are seals and dolphins examples of convergent evolution?
Absolutely.
What are Examples of a convergent beam of light?
Magnifing glass
Find one example of convergent evolution among the Caminalcules?
2 examples of convergent evolution among caminacules
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 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.
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.
Give examples of where the three types of plate movements occur?
San Andreas Fault--transform plate boundary. Himalayan Mountain Range--convergent plate boundary. Mid-ocean ridge--divergent plate boundary.
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
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.
What is absolute convergence in economics?
In mathematics, a series (or sometimes also an integral) is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex-valued series is said to converge absolutely if Absolute convergence is vitally important to the study of infinite series because on the one hand, it is strong enough that such series retain certain basic properties of finite sums - the most important ones being rearrangement of the terms and convergence of products of two infinite series - that are unfortunately not possessed by all convergent series. On the other hand absolute convergence is weak enough to occur very often in practice. Indeed, in some (though not all) branches of mathematics in which series are applied, the existence of convergent but not absolutely convergent series is little more than a curiosity. In mathematics, a series (or sometimes also an integral) is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex-valued series is said to converge absolutely if Absolute convergence is vitally important to the study of infinite series because on the one hand, it is strong enough that such series retain certain basic properties of finite sums - the most important ones being rearrangement of the terms and convergence of products of two infinite series - that are unfortunately not possessed by all convergent series. On the other hand absolute convergence is weak enough to occur very often in practice. Indeed, in some (though not all) branches of mathematics in which series are applied, the existence of convergent but not absolutely convergent series is little more than a curiosity.
