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Exercise

$\lim_{x\to r}\left(\frac{x^2-ax}{x^2-4}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to r}\left(\frac{x^2-ax}{x^2-4}\right)$ by replacing all occurrences of $x$ by $r$

$\frac{r^2-ar}{r^2-4}$

Final answer to the exercise

$\frac{r^2-ar}{r^2-4}$

Try other ways to solve this exercise

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  • 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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