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# Find the limit $\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$

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indeterminate

##  Step-by-step Solution 

Problem to solve:

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$

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1

Evaluate the limit $\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$ by replacing all occurrences of $x$ by $1$

$\frac{\sqrt{1+3}-2}{1^2-1}$

Learn how to solve limits by direct substitution problems step by step online.

$\frac{\sqrt{1+3}-2}{1^2-1}$

Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim(((x+3)^1/2-2)/(x^2-1)). Evaluate the limit \lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right) by replacing all occurrences of x by 1. Add the values 1 and 3. Calculate the power 1^2. Subtract the values 1 and -1.

indeterminate

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Limits by direct substitutionLimits by L'Hôpital's ruleLimits by factoringLimits by rationalizing

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Limits by direct substitution

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