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
3 months, 3 weeks ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears 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} $$\boxed{123}$$

Sort by:

- 3 months, 3 weeks ago

It's obvious that there's no period.

- 3 months, 3 weeks ago

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

- 3 months, 3 weeks ago

- 3 months, 3 weeks ago

Thank you.

- 3 months, 3 weeks 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?

- 3 months, 3 weeks ago