Exercise
$\lim_{x\to2}\left(\frac{x^4-16}{x-2}\right)$
Step-by-step Solution
Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (x^4-16)/(x-2) as x approaches 2. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{16}. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{16}.
Find the limit of (x^4-16)/(x-2) as x approaches 2
Final answer to the exercise
$32$