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Exercise

$\lim_{x\to-3}\left(x^2+x-6\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to-3}\left(x^2+x-6\right)$ by replacing all occurrences of $x$ by $-3$

${\left(-3\right)}^2-3-6$
2

Subtract the values $-3$ and $-6$

${\left(-3\right)}^2-9$
3

Calculate the power ${\left(-3\right)}^2$

$9-9$
4

Subtract the values $9$ and $-9$

0

Final answer to the exercise

0

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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