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Question Number 212204 by liuxinnan last updated on 06/Oct/24

$$f\left(x\right)iscontinousand$$$$\underset{x\to \mathrm{\infty }}{\lim }f\left(x\right)=-\mathrm{\infty }$$$$provemax\left(f\left(x\right)\right)exist$$

Commented by mr W last updated on 06/Oct/24

$${that}^{\prime }snottrue.acounter-example:$$$$f\left(x\right)=-x^3$$

Commented by loredcs2357 last updated on 06/Oct/24

$$\mathrm{I}\mathrm{think}\mathrm{he}\mathrm{means}\underset{x\to \pm \mathrm{\infty }}{\lim }f\left(x\right)=-\mathrm{\infty }.\mathrm{In}\mathrm{this}\mathrm{case}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{true}.$$

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