The Ballad of Taylor & Maclurin

from by icanhasmath

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lyrics

“A function can become a sweet series,”
said Taylor as he stepped into the breeze.
“From term zero to term infinity,
you’ll find out every term so easily:

Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”

Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”

It is the essence of simplicity
factorials and powers: 0, 1, 2, 3, ...

Expansion of the series is the key
relating sine, the cosine, i and e...

Evaluate the nth derivative at ‘a’,
Times ‘x’ minus ‘a’ to the nth power,
Over n factorial.”

Then Maclurin said, “Hello. I’d prefer it if the ‘a’ was just zero.”

credits

from icanhasmatheatre! The Archive., released August 28, 2014

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