Final answer to the problem
indeterminate
Step-by-step Solution
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- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
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1
Evaluate the limit $\lim_{x\to1}\left(\left(\frac{\sin\left(x-1\right)}{x-1}\right)^{\frac{1}{\left(x-1\right)^2}}\right)$ by replacing all occurrences of $x$ by $1$
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$\left(\frac{\sin\left(1-1\right)}{1-1}\right)^{\frac{1}{\left(1-1\right)^2}}$
Learn how to solve problems step by step online. Find the limit of (sin(x-1)/(x-1))^(1/((x-1)^2)) as x approaches 1. Evaluate the limit \lim_{x\to1}\left(\left(\frac{\sin\left(x-1\right)}{x-1}\right)^{\frac{1}{\left(x-1\right)^2}}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Subtract the values 1 and -1. Subtract the values 1 and -1.
Final answer to the problem
indeterminate
