Here, we show you a step-by-step solved example of limites de l'affacturage. This solution was automatically generated by our smart calculator:
Factor the trinomial $x^2+2x-24$ finding two numbers that multiply to form $-24$ and added form $2$
Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values
Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Apply the formula: $a^b$$=a^b$, where $a=16$, $b=\frac{1}{2}$ and $a^b=\sqrt{16}$
Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Apply the formula: $a^b$$=a^b$, where $a=16$, $b=\frac{1}{2}$ and $a^b=\sqrt{16}$
Apply the formula: $ab$$=ab$, where $ab=- 4$, $a=-1$ and $b=4$
Factor the difference of squares $x^2-16$ as the product of two conjugated binomials
Apply the formula: $\frac{a}{a}$$=1$, where $a=x-4$ and $a/a=\frac{\left(x+4\right)\left(x-4\right)}{\left(x-4\right)\left(x+6\right)}$
Evaluate the limit $\lim_{x\to4}\left(\frac{x+4}{x+6}\right)$ by replacing all occurrences of $x$ by $4$
Apply the formula: $a+b$$=a+b$, where $a=4$, $b=6$ and $a+b=4+6$
Apply the formula: $a+b$$=a+b$, where $a=4$, $b=4$ and $a+b=4+4$
Apply the formula: $\frac{a}{b}$$=\frac{a}{b}$, where $a=8$, $b=10$ and $a/b=\frac{8}{10}$
Evaluate the limit $\lim_{x\to4}\left(\frac{x+4}{x+6}\right)$ by replacing all occurrences of $x$ by $4$
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