What is LIMIT?

Question

What is limit, what are the uses of limits in mechanical engineering?

Answer 1

when we say limit a is b means that a tends to b but never be equal to b . because at the point of mathematics there is infinite numbers between a and b.

Answer 2

In mathematics, the concept of a "limit" is used to describe the behavior of a function as its argument either gets "close" to some point, or as it becomes larger and larger; or the behavior of a sequence's elements, as their index becomes larger and larger. Limits are used in calculus and other branches of mathematical analysis to define derivatives and continuity.

The concept of the "limit of a function" is further generalized to the concept of topological net, while the limit of a sequence is closely related to limit and direct limit in category theory.

Mathematics students usually first encounter limits in introductory calculus classes, and understanding the detailed concept often presents a stumbling block. Readers seeking an introductory explanation might look at the Wikibooks Calculus section about limits [1]. This present article does have some elementary exposition, but it is also about how limits are treated in more advanced branches of mathematics.

Answer 3

I take it you mean limit in the mathematical sense. In that case, all derivatives used in engneering calculations are in fact limits as h tends to zero. Hence using differentiation in solving engineering problems are in fact making use of limits big time, eg. calculating stress, strain, max/min current, etc, etc.

Answer 4

after th limit you not go anywhere