Question: 7. Consider the function g(x) = x, which is defined for all > 0. Observe that limo+g(x) is indeterminate due to its form of
7. Consider the function g(x) = x, which is defined for all > 0. Observe that limo+g(x) is indeterminate due to its form of 0. (Think about how we know that 0% = 0 for all k > 0, while 6 1 for all 60, but that neither rule can apply to 0.) = a. Let h(x) = ln(g(1)). Explain why h(x) = 2x ln(x). b. Next, explain why it is equivalent to write h(x) = 2ln(z) c. Use L'Hpital's Rule and your work in (b) to compute limo+h(x). d. Based on the value of limo+h(x), determine limo+g(x).
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