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Weirdness is in graphs!

As you all already know how the graph of \(f\left(x\right)=\frac{\sin x}{x}\) looks like, try graphing \(f\left(x\right)=\frac{\sin \left(\frac{1}{\left(x\right)}\right)}{\frac{1}{x}}\). (Yes! You're allowed to graph it using an electronic graphing calculator, or use the Desmos Graphing Calculator.)

Try graphing the following too!

\(\tan \left(\frac{x}{\cos \left(\frac{1}{x}\right)}\right)\)

\(\tan \left(\frac{x}{\left(\sec x\right)}\right)\). (Nothing? Zoom out for the climax!)

The bombshell:

\( \sin \left(\cos \left(\tan \left(\csc \left(\sec \left(\cot \left(\arcsin \left(\arccos \left(\arctan \left(\operatorname{arccsc}\left(\operatorname{arcsec}\left(\operatorname{arccot}\left(x\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\)

And your device starts lagging a bit too as you move towards the negative x-axis.

\(\frac{e^x}{\ln \left(\sin \left(e^{\cos \left(\frac{1}{\left(\left(\left(x\right)\right)\right)}\right)}\right)\right)}\)

Seems as if the curve is a fan of the negative y-axis!

\(\sin \left(\frac{1}{e^{\frac{1}{\operatorname{arccsc}\left(x\right)}}}\right)\)

Kindly move towards the negative x-axis.

\( y^x=\sec \left(20x\right)\)

Clearly, this time the graphing calculator gave up!

You're free to share any such function which has such a peculiar curve in the comments section. Cheers! :D

GIF Credit: Reddit

Note by Arkajyoti Banerjee
1 month, 2 weeks ago

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Weird weird weird!!! Athenkosi Bezana · 1 month, 2 weeks ago

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