(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f:R->R be a continuous function where limit as x goes to positive/negative infinity is negative infinity. Prove that f has a maximum value on R.

2. Relevant equations

None

3. The attempt at a solution

I tried to use the definition of infinite limits but I'm not sure how to do this explicitly.

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# Homework Help: Continuity & Properties of functions

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