Learn how to solve limits problems step by step online. Find the limit of (pi/(2^(1/2)))^(1/3) as x approaches infinity. The limit of a constant is just the constant. 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}. Simplify \sqrt[3]{\sqrt{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{1}{3}. 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}.

Find the limit of (pi/(2^(1/2)))^(1/3) as x approaches infinity