What’s The Worst Thing About Limits?

What’s the worst thing about limits?

• Is it always having to amplify by the conjugate to eliminate indeterminate forms? NO.

• Is it having to learn some limits by heart (especially for trig functions)? NO.

• Is it having to sometimes use L’Hôpital-Bernoulli’s rule over and over again? NO.

• Is it having to just write “lim” before each line? YES. FUCKING YES. WHY OH GOD WHY I HATE THE NOTATION.

The most infuriating part of it is that it’s just a notation and it could so easily be changed, BUT NO, we’re stuck with this shit.

What’s The Worst Thing About Limits?

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I was dicking around in polar coordinates last night and I found something... extensible.

I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.

r = sqrt(sec(2θ)), an ordinary hyperbola. One of the five conic sections. In Cartesian coordinates x^2 = y^2 + 1.

I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.

r = sqrt(sec(3θ)), a triperbola :)

And now here's r = sqrt(sec(aθ)) for some other values of a:

I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.
I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.
I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.
I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.
I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.
I Was Dicking Around In Polar Coordinates Last Night And I Found Something... Extensible.

a = [1/2 2/7 6/1 5/2 3/5 5/9]

1 month ago
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