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

Easy Math Editor

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Comments

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

Vilakshan Gupta - 1 year, 7 months ago

It's obvious that there's no period.

Pi Han Goh - 1 year, 7 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, 7 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, 7 months ago

@Vilakshan Gupta – Hint: See this relevant answer.

Pi Han Goh - 1 year, 7 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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

Comments

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