Final answer to the problem
$-3$
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Step-by-step Solution
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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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1
Evaluate the limit $\lim_{x\to0}\left(\frac{2x^3-2x^2+x-3}{x^3+2x^2-x+1}\right)$ by replacing all occurrences of $x$ by $0$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{2\cdot 0^3-2\cdot 0^2+0-3}{0^3+2\cdot 0^2+0+1}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (2x^3-2x^2x+-3)/(x^3+2x^2-x+1) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{2x^3-2x^2+x-3}{x^3+2x^2-x+1}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -3. Add the values 0 and 1. Calculate the power 0^3.
Final answer to the problem
$-3$
