$$ \left. \begin{array} { l } { 2 . - \operatorname { Lim } \frac { x - 16 } { \sqrt { x } - 4 } } \ { x ightarrow 16 } \end{array} ight. $$

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$$ \left. \begin{array} { l } { 2 . - \operatorname { Lim } \frac { x - 16 } { \sqrt { x } - 4 } } \ { x ightarrow 16 } \end{array} ight. $$

UpStudy AI · Accepted Answer

Calculate the limit $$ \lim_{x\rightarrow 16} \frac{x-16}{\sqrt{x}-4} $$.
Evaluate the limit by following steps:
- step0: Evaluate using transformations:
  $$\lim _{x\rightarrow 16}\left(\frac{x-16}{\sqrt{x}-4}\right)$$
- step1: Multiply by the Conjugate:
  $$\lim _{x\rightarrow 16}\left(\sqrt{x}+4\right)$$
- step2: Rewrite the expression:
  $$\lim _{x\rightarrow 16}\left(\sqrt{x}\right)+\lim _{x\rightarrow 16}\left(4\right)$$
- step3: Calculate:
  $$4+4$$
- step4: Add the numbers:
  $$8$$
La expresión $$ \lim_{x\rightarrow 16} \frac{x-16}{\sqrt{x}-4} $$ es igual a 8.
La expresión $$ \lim_{x\rightarrow 16} \frac{x-16}{\sqrt{x}-4} $$ es igual a 8.

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