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Exercise

$\lim_{x\to\frac{5}{3}}\left(\sqrt[2]{\left|x\right|+8}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to{\frac{5}{3}}}\left(\sqrt{\left|x\right|+8}\right)$ by replacing all occurrences of $x$ by $\frac{5}{3}$

$\sqrt{\left|\frac{5}{3}\right|+8}$

Final answer to the exercise

$\sqrt{\left|\frac{5}{3}\right|+8}$

Try other ways to solve this exercise

  • Choose an option
  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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