Final answer to the problem
indeterminate
Step-by-step Solution
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- Solve using L'Hôpital's rule
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- 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 $\lim_{x\to0}\left(\frac{\sqrt{x+1}-\sqrt{3x+1}}{\sqrt{x+4}-2}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\sqrt{0+1}-\sqrt{3\cdot 0+1}}{\sqrt{0+4}-2}$
Learn how to solve problems step by step online. Find the limit of ((x+1)^(1/2)-(3x+1)^(1/2))/((x+4)^(1/2)-2) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{x+1}-\sqrt{3x+1}}{\sqrt{x+4}-2}\right) by replacing all occurrences of x by 0. Add the values 0 and 4. Add the values 0 and 1. Multiply 3 times 0.
Final answer to the problem
indeterminate
