Final answer to the problem
$\frac{2}{\sqrt{18}\sqrt{2}+6}$
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Step-by-step Solution
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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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1
Factor the polynomial $2x^2+36$ by it's greatest common factor (GCF): $2$
$\lim_{x\to0}\left(\frac{\sqrt{2\left(x^2+18\right)}-6}{x^2}\right)$
Learn how to solve integrals of rational functions problems step by step online.
$\lim_{x\to0}\left(\frac{\sqrt{2\left(x^2+18\right)}-6}{x^2}\right)$
Learn how to solve integrals of rational functions problems step by step online. Find the limit of ((2x^2+36)^(1/2)-6)/(x^2) as x approaches 0. Factor the polynomial 2x^2+36 by it's greatest common factor (GCF): 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
$\frac{2}{\sqrt{18}\sqrt{2}+6}$
