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Exercise

$\lim_{a\to0}\left(a^4-9\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{a\to0}\left(a^4-9\right)$ by replacing all occurrences of $a$ by $0$

$0^4-9$
2

Calculate the power $0^4$

$0-9$
3

Subtract the values $0$ and $-9$

$-9$

Final answer to the exercise

$-9$

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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$98^2$
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