Final Answer
Step-by-step Solution
Specify the solving method
Simplify $\sqrt[3]{\cos\left(x-1\right)^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{3}$
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{x\to0}\left(\cos\left(x-1\right)^{2\frac{1}{3}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of cos(x-1)^2^1/3 as x approaches 0. Simplify \sqrt[3]{\cos\left(x-1\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Multiply 2 times \frac{1}{3}. Evaluate the limit \lim_{x\to0}\left(\sqrt[3]{\cos\left(x-1\right)^{2}}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -1.