Search problems

2 problems match “limit laws”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

  1. Limit of a sum with a cube root ●○○○○ 10 ptsCompute lim⁡x→10(4x+x−23)\lim_{x \to 10} \left(4x + \sqrt[3]{x - 2}\right).
  2. Limit of quotient of root differences ●●○○○ 20 ptsFind lim⁡x→0(1+x)1/2−1(1+x)1/3−1\lim_{x \to 0} \frac{(1+x)^{1/2} -1}{(1+x)^{1/3} -1} without using L'Hôpital's rule. Round to three decimal places.