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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”.
In Mathematics, a limit is defined as a value that a function approaches the output for the given input values. Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity.
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A one-sided limit only considers values of a function that approaches a value from either above or below. The right-side limit of a function \ (f\) as it approaches \ (a\) is the limit. \ [\lim_ {x \to a^+} f (x) = L. \] The left-side limit of a function \ (f\) is. \ [\lim_ {x \to a^-} f (x) = L. \]
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.