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Here is an example: Alex joins a $100$-mile sprint competition, we denote time as $t$, distance as $F$, we can construct $F(t)=t\cdot V$ (assuming Alex's speed is constants like $10\ m / s$.) so what is limit of $F$ as $t$ is approaching $20$, easily we can see $F(20)=200m$, this is a process of limit. how to describe this: when t get close to ...
Limits in maths are unique real numbers. Let us consider a real-valued function “f” and the real number “c”, the limit is normally defined as \(\lim _{x \rightarrow c} f(x)=L\). It is read as “the limit of f of x, as x approaches c equals L”.
1 Ιαν 2021 · This calculus 1 video tutorial provides an introduction to limits. It explains how to evaluate limits by direct substitution, by factoring, and graphically.
The limit formula is the representation of the behavior of the function at a specific point and the formula analyzes that function. Limit describes the behavior of some quantity that depends on an independent variable, as that independent variable approaches or comes close to a particular value.
Instead, you should view limits as a way to describe situations (or ask more interesting problems). The derivative is a perfect example of this. If you want to express the idea of "instantaneous rate of change," you are going to use limits to do this.
Example: limx→10 x2 = 5. We know perfectly well that 10/2 = 5, but limits can still be used (if we want!)
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.