# 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
1 year, 10 months ago

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Sort by:

- 1 year, 10 months ago

It's obvious that there's no period.

- 1 year, 10 months ago

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

- 1 year, 10 months ago

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

- 1 year, 10 months ago

- 1 year, 10 months ago

Thank you.

- 1 year, 10 months ago