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.

#Geometry

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

Vilakshan Gupta - 1 year, 4 months ago

It's obvious that there's no period.

Pi Han Goh - 1 year, 4 months ago

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

Vilakshan Gupta - 1 year, 4 months ago

@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 - 1 year, 4 months ago

@Vilakshan Gupta – Hint: See this relevant answer.

Pi Han Goh - 1 year, 4 months ago

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

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