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Announcement for GDB Topic | Dated: Feb 14, 14 |
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The following is the topic for GDB
“Discuss at least three mathematical fields where the concept of “LIMIT’ is used to solve the problems”
(Be precise to this topic only) Opening Date: Feb 20, 2014 at 12:01 AM Closing Date: Feb 21, 2014 at 11:59 PM Instructions: (1) Post your comments only on the concern Graded MDB forum and not on regular MDB forum. (2) Write your comments in the plain text and avoid math type symbols and figures/graphs/images as these will not appear on the board. (3) Zero marks will be given to irrelevant comments or to those which are copied from website or any other source. (5) Do not enter your comments more than once. (6) Due date will not be extended. (7) No description will be accepted through e-mail. Share your comment here. |
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Limit in calculus:
Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve
Mathematical concept based on the idea of closeness, used mainly in studying the behavior of function close to values at which they are undefined. For example, the function 1/x is not defined at x = 0. For positive values of x, as x is chosen closer and closer to 0, the value of 1/x begins to grow rapidly, approaching infinity as a limit. This interplay of action and reaction as the independent variable moves closer to a given value is the essence of the idea of a limit. Limits provide the means of defining the derivative and integral of a function.
Within mathematics limit is the value that a function or series ”approaches” as the input or index approaches some value. Limits are essential to calculus (and mathematical analysis in general) and are used to describe continuity, derivatives, and integrals.he concept of a limit of a sequence is extra sweeping to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. In formulas, a limit is usually denoted “lim” as in limn → c (an) = L, and the fact of approaching a limit is represented by the right arrow (→) as in a → L.
Some fields of Mathematics where LIMITS are applicable are as follows:
1 Calculus
2 Statistics
3 Numerical Analysis
Study about different fields and choose the 3 fields u like and briefly write your views.
In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches some value. Limits are essential to calculus (and mathematical analysis in general) and are used to define continuity, derivatives, and integrals.
The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory.
In formulas, a limit is usually denoted "lim" as in limn → c(an) = L, and the fact of approaching a limit is represented by the right arrow (→) as in an → L.
Mathematical fields where concept of Limit is used to solve problems.
Finding instantaneous rate of change of a function.
Instantaneous rate of change=Solving area problems.
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