divergentni niz

divergentni niz

A sequence which does not have a limit that is a real number. For example, 1, 2, 3, 4, 5, 6, 7, ... is a divergent sequence since its limit is infinity (∞). The limit of a convergent sequence must be a real number.

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Besedna vrsta: noun
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Industrija/področje: Mathematics
Category: Calculus
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niz

Mathematics; Algebra

A function dcfined on the positive integers or a subset of consecutive positive integers starting with 1.

geometrijski niz

Mathematics; Algebra

For each positive integer n, and for each real number r, ''r'' ¹ 0, the sequence with the first term a, and nth term a. is a geometric sequence if and only if a. = ''a1r^n-1.''

konačni niz

Mathematics; Algebra

A sequence that has a last term.

konvergentan niz

Mathematics; Calculus

A sequence with a limit that is a real number. For example, the sequence 5.1, 5.01, 5.001, 5.0001, . . . has limit 5, so the sequence converges to 5. On the other hand, the ...

diferencijalna jednačina prvog reda

Mathematics; Calculus

An differential equation in which the highest derivative is a first derivative, i.e. an ordinary differential equation of order 1. As an example, ''y' '' + ''xy'' = 1 is a first ...

hiperbolična trigonometrija

Mathematics; Calculus

An extension of trigonometry with the standard six hyperbolic trigonometry functions defined using ''e x '' and ''e –x ''. The six functions are: sinh ''x'', cosh ''x'', tanh ...

kriva

Mathematics; Calculus

Any path, curved or straight, closed or open, is referred as a curve in calculus. A curve can be on a two-dimensional plane, in three- or n-dimensional space. Lines, circles, ...

absolutni maksimum

Mathematics; Calculus

The highest point over the entire domain of a function or relation.

osa rotacije

Mathematics; Calculus

A line about which a plane figure rotates in three dimensional space to create a solid or surface.

izvod

Mathematics; Calculus

A function which calculates the slope of a curve; that is, the slope of the tangent line to the graph of the function at that point. The derivative of a function f at a point x ...