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10 ln y Limits Evaluate the following limits. Use
Chapter 4, Problem 33RE(choose chapter or problem)
QUESTION:
Evaluate the following limits. Use l’ Hospital’s Rule when needed.
\(\lim _{y \rightarrow 0^+}\ \frac{ln^{10} y}{\sqrt{y}}\)
Questions & Answers
QUESTION:
Evaluate the following limits. Use l’ Hospital’s Rule when needed.
\(\lim _{y \rightarrow 0^+}\ \frac{ln^{10} y}{\sqrt{y}}\)
ANSWER:Solution Step 1 In this problem we have to evaluate the limit lim ln yby using l'Hôpital's Rule when y0 + y needed. l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim xa g(x)= o0 limxa g(x)= ± Where a can be any real number, infinity or negative infinity. f(x) f(x) In these cases we have lim xa g(x)= xa gx)