Limits with Radicals
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Problems 3
- Let L=limx→∞((x3+x2)1/3−(x3−x2)1/3)L = \lim_{x\to\infty}((x^3+x^2)^{1/3} - (x^3 - x^2)^{1/3})L=limx→∞((x3+x2)1/3−(x3−x2)1/3). Find 15L15L15L. Source: HMMT February 2004
- Evaluate limx→04+x−2x\lim_{x\to0}\frac{\sqrt{4+x}-2}{x}x→0limx4+x−2
- Evaluate, limx→−1−3x+1\lim_{x\rightarrow-1^-}\sqrt{\frac3{x+1}}x→−1−limx+13