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Exercise

$\lim_{x\to0}\:8\left(x-2\right)\left(x-3\right)$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to0}\left(8\left(x-2\right)\left(x-3\right)\right)$ by replacing all occurrences of $x$ by $0$

$8\left(0-2\right)\left(0-3\right)$
2

Subtract the values $0$ and $-2$

$8\cdot -2\left(0-3\right)$
3

Subtract the values $0$ and $-3$

$8\cdot -2\cdot -3$
4

Multiply $8$ times $-2$

$-16\cdot -3$
5

Multiply $-16$ times $-3$

$48$

Final answer to the exercise

$48$

Try other ways to solve this exercise

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  • Solve using limit properties
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  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
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