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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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Evaluate the limit $\lim_{x\to9}\left(\frac{\sin\left(x+9-6\sqrt{x}\right)}{\left(-9+3\sqrt{x}\right)\tan\left(-3+\sqrt{x}\right)}\right)$ by replacing all occurrences of $x$ by $9$
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$\frac{\sin\left(9+9-6\sqrt{9}\right)}{\left(-9+3\sqrt{9}\right)\tan\left(-3+\sqrt{9}\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of sin(x+9-6x^(1/2))/((-9+3x^(1/2))tan(-3+x^(1/2))) as x approaches 9. Evaluate the limit \lim_{x\to9}\left(\frac{\sin\left(x+9-6\sqrt{x}\right)}{\left(-9+3\sqrt{x}\right)\tan\left(-3+\sqrt{x}\right)}\right) by replacing all occurrences of x by 9. Add the values 9 and 9. Calculate the power \sqrt{9}. Multiply 3 times 3.
