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Exercise

$\lim_{x\to k}\left(\frac{x^2-4}{x^2-3x+2}\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to k}\left(\frac{x^2-4}{x^2-3x+2}\right)$ by replacing all occurrences of $x$ by $k$

$\frac{k^2-4}{k^2-3k+2}$

Final answer to the exercise

$\frac{k^2-4}{k^2-3k+2}$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
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  • 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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