Nature of \(y=\cos(e^{-x})\)

Can anyone explain me the nature of the graph of \(y=\cos(e^{-x})\)?

You can tell me why this graph behaves in such a way, how to calculate it's period, why the period is becoming infinite when \(x\) approaches \(-\infty\), etc.

In other words, tell me everything you can know about the properties of the graph.

Note by Vilakshan Gupta
6 months, 4 weeks ago

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@Calvin Lin , @Mark Hennings , @Chew-Seong Cheong , @Pi Han Goh

Vilakshan Gupta - 6 months, 4 weeks ago

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It's obvious that there's no period.

Pi Han Goh - 6 months, 4 weeks ago

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Okay, there's no period, but can you tell me why is the graph becoming compact, when \(x\) becomes more negative?

Vilakshan Gupta - 6 months, 4 weeks ago

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@Vilakshan Gupta Hint: See this relevant answer.

Pi Han Goh - 6 months, 4 weeks ago

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@Pi Han Goh Thank you.

Vilakshan Gupta - 6 months, 4 weeks ago

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@Vilakshan Gupta I want that, if we are not given the graph , how and what conditions we need to find to draw the graph by hand?

Vilakshan Gupta - 6 months, 4 weeks ago

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