Final answer to the problem
indeterminate
Step-by-step Solution
Specify the solving method
1
Factor the polynomial $\left(x^2-x\right)$ by it's greatest common factor (GCF): $x$
$\lim_{x\to0}\left(\left(2x\right)^{x\left(x-1\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to0}\left(\left(2x\right)^{x\left(x-1\right)}\right)$
Learn how to solve limits of exponential functions 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)}. Evaluate the limit \lim_{x\to0}\left(e^{x\left(x-1\right)\ln\left(2x\right)}\right) by replacing all occurrences of x by 0. Subtract the values 0 and -1.
Final answer to the problem
indeterminate