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

Step-by-step Solution

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Final Answer

indeterminate

Step-by-step Solution

Problem to solve:

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

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

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

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

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

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

Final Answer

indeterminate

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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

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