Learn how to solve combining like terms problems step by step online. Find the limit of (arctan(x)^4)/(x^7) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{\arctan\left(x\right)^4}{x^7}\right) by replacing all occurrences of x by \infty . Evaluate the arctangent of +/- infinity. Infinity to the power of any positive number is equal to infinity, so \infty ^7=\infty. 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 (arctan(x)^4)/(x^7) as x approaches infinity