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- Solve using limit properties
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- 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
- Integrate by substitution
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Evaluate the limit $\lim_{x\to-1}\left(\frac{\sqrt{x^2+x+9}-\sqrt{2x^2-10x-3}}{\sqrt{x^2+2}-\sqrt{5x^2-2}}\right)$ by replacing all occurrences of $x$ by $-1$
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$\frac{\sqrt{{\left(-1\right)}^2-1+9}-\sqrt{2\cdot {\left(-1\right)}^2+10-3}}{\sqrt{{\left(-1\right)}^2+2}-\sqrt{5\cdot {\left(-1\right)}^2-2}}$
Learn how to solve problems step by step online. Find the limit of ((x^2+x+9)^1/2-(2x^2-10x+-3)^1/2)/((x^2+2)^1/2-(5x^2-2)^1/2) as x approaches -1. Evaluate the limit \lim_{x\to-1}\left(\frac{\sqrt{x^2+x+9}-\sqrt{2x^2-10x-3}}{\sqrt{x^2+2}-\sqrt{5x^2-2}}\right) by replacing all occurrences of x by -1. Subtract the values 9 and -1. Subtract the values 10 and -3. Calculate the power {\left(-1\right)}^2.