Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Produit de binômes avec terme commun
- Méthode FOIL
- Load more...
Apply the formula: $\lim_{x\to c}\left(a\right)$$=\lim_{x\to c}\left(a\frac{conjugate\left(numerator\left(a\right)\right)}{conjugate\left(numerator\left(a\right)\right)}\right)$, where $a=\frac{\sqrt{x+6}-4}{x-10}$ and $c=10$
Learn how to solve limites par substitution directe problems step by step online.
$\lim_{x\to10}\left(\frac{\sqrt{x+6}-4}{x-10}\frac{\sqrt{x+6}+4}{\sqrt{x+6}+4}\right)$
Learn how to solve limites par substitution directe problems step by step online. (x)->(10)lim(((x+6)^(1/2)-4)/(x-10)). Apply the formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\frac{conjugate\left(numerator\left(a\right)\right)}{conjugate\left(numerator\left(a\right)\right)}\right), where a=\frac{\sqrt{x+6}-4}{x-10} and c=10. Apply the formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\right), where a=\frac{\sqrt{x+6}-4}{x-10}\frac{\sqrt{x+6}+4}{\sqrt{x+6}+4} and c=10. Apply the formula: a+b=a+b, where a=6, b=-16 and a+b=x+6-16. Apply the formula: \frac{a}{a}=1, where a=x-10 and a/a=\frac{x-10}{\left(x-10\right)\left(\sqrt{x+6}+4\right)}.
