Final Answer
Step-by-step Solution
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Factor the polynomial $\left(x^2-x\right)$ by it's greatest common factor (GCF): $x$
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$\lim_{x\to0}\left(\left(2x\right)^{x\left(x-1\right)}\right)$
Learn how to solve problems step by step online. Find the limit of (2x)^(x^2-x) as x approaches 0. Factor the polynomial \left(x^2-x\right) by it's greatest common factor (GCF): x. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. The limit of a constant is just the constant.