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Salmon developed a five-stage model of e-learning and e-moderating that for some time has had a major influence where online courses and online discussion forums have been used. [13] In her five-stage model, individual access and the ability of students to use the technology are the first steps to involvement and achievement.
In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
This definition allows a limit to be defined at limit points of the domain S, if a suitable subset T which has the same limit point is chosen. Notably, the previous two-sided definition works on int S ∪ iso S c , {\displaystyle \operatorname {int} S\cup \operatorname {iso} S^{c},} which is a subset of the limit points of S .
In multivariable calculus, an iterated limit is a limit of a sequence or a limit of a function in the form , = (,), (,) = ((,)),or other similar forms. An iterated limit is only defined for an expression whose value depends on at least two variables. To evaluate such a limit, one takes the limiting process as one of the two variables approaches some number, getting an expression whose value ...
This limit can be shown to exist for any , and it defines a continuous increasing function () = with () = and () =, so the Intermediate value theorem guarantees the existence of such a value =. Equivalence of the characterizations
A number of other terms (distributed learning, e-learning, m-learning, online learning, virtual classroom, etc.) are used roughly synonymously with distance education. E-learning has shown to be a useful educational tool. E-learning should be an interactive process with multiple learning modes for all learners at various levels of learning.
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The extent to which e-learning assists or replaces other learning and teaching approaches is variable, ranging on a continuum from none to fully online distance learning. [ 74 ] [ 75 ] A variety of descriptive terms have been employed (somewhat inconsistently) to categorize the extent to which technology is used.