Final answer to the problem
$\frac{1}{2}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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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1
Factor the sum or difference of cubes using the formula: $a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2)$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to0}\left(\frac{\sqrt{\left(1+x\right)\left(1-x+x^{2}\right)}-1}{x^3}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((1+x^3)^(1/2)-1)/(x^3) as x approaches 0. Factor the sum or difference of cubes using the formula: a^3\pm b^3 = (a\pm b)(a^2\mp ab+b^2). The power of a product is equal to the product of it's factors raised to the same power. Applying rationalisation. Multiply and simplify the expression within the limit.
Final answer to the problem
$\frac{1}{2}$
Exact Numeric Answer
$0.5$
