Final answer to the problem
The limit does not exist
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
Evaluate the limit $\lim_{x\to-3}\left(\frac{\sqrt{x^2+2x+1}-4}{\sqrt{3x^2+2x+4}-5}\right)$ by replacing all occurrences of $x$ by $-3$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\sqrt{{\left(-3\right)}^2+2\cdot -3+1}-4}{\sqrt{3\cdot {\left(-3\right)}^2+2\cdot -3+4}-5}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((x^2+2x+1)^(1/2)-4)/((3x^2+2x+4)^(1/2)-5) as x approaches -3. Evaluate the limit \lim_{x\to-3}\left(\frac{\sqrt{x^2+2x+1}-4}{\sqrt{3x^2+2x+4}-5}\right) by replacing all occurrences of x by -3. Multiply 2 times -3. Subtract the values 4 and -6. Multiply 2 times -3.
Final answer to the problem
The limit does not exist
