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The power of a quotient is equal to the quotient of the power of the numerator and denominator: $\displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$
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$\lim_{n\to0}\left(\frac{\left(n^3-3n^2-4n\right)^n}{\left(n^3+3x^2-4x\right)^n}\right)$
Learn how to solve problems step by step online. Find the limit of ((n^3-3n^2-4n)/(n^3+3x^2-4x))^n as n approaches 0. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Factor the polynomial \left(n^3-3n^2-4n\right) by it's greatest common factor (GCF): n. Evaluate the limit \lim_{n\to0}\left(\frac{\left(n\left(n^2-3n-4\right)\right)^n}{\left(n^3+3x^2-4x\right)^n}\right) by replacing all occurrences of n by 0. Multiply -3 times 0.