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Section 6.3 Miscellaneous

These answers correspond to the problems in Section 1.4.

  1. (a) \(\displaystyle x=\frac{1-\ln \pi }{\ln \pi }\text{.}\) (b) \(\displaystyle x=-\frac{\log \log 2}{\log 3}\text{.}\)

  2. \((e,3)\cup (3,\infty )\text{.}\)

  3. (a) Give a definition of the limit. (b) Give a definition of a function continuous at a point. (c) A corner or a vertical tangent; \(y=|x|\text{;}\) \(\displaystyle y=x^{\frac{1}{3}}\text{.}\)