Compute {{MATH_123}} {{CMD_124}} This doesn't appear to be suitable for L'H{{CMD_125}}pital's Rule. As {{MATH_126}} approaches zero, {{MATH_127}} goes to {{MATH_128}}, so the product looks like {{MATH_129}} This product could be anything. A careful analysis is required. Write {{MATH_130}} Set {{MATH_131}} and {{MATH_132}}. Since both functions are differentiable near zero and {{MATH_133}} we may apply L'H{{CMD_134}}pital's rule. Write with me {{MATH_135}} and {{MATH_136}} so {{ENV_137}} One way to interpret this is that since {{MATH_138}}, the function {{MATH_139}} approaches zero much faster than {{MATH_140}} approaches {{MATH_141}}. {{CMD_142}} {{CMD_143}}