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Exercise

$\lim_{x\to+2}\frac{\sqrt[3]{\left(x^3-5x^2+8x-4\right)}}{x-2}$

Step-by-step Solution

1

Evaluate the limit $\lim_{x\to+2}\left(\frac{\sqrt[3]{x^3-5x^2+8x-4}}{x-2}\right)$ by replacing all occurrences of $x$ by $+2$

$\frac{\sqrt[3]{+2^3-5\cdot +2^2+8\cdot +2-4}}{+2-2}$

Final answer to the exercise

$\frac{\sqrt[3]{+2^3-5\cdot +2^2+8\cdot +2-4}}{+2-2}$

Try other ways to solve this exercise

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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
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$365-69$
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