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Sal's old Maclaurin and Taylor series tutorial
Everything in this tutorial is covered (with better resolution and handwriting) in the "other" Maclaurin and Taylor series tutorial, but this one has a bit of old-school charm so we are keeping it here for historical reasons.
Using a polynomial to approximate a function at f(0).
Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)
A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.
Approximating cos x with a Maclaurin series.
MacLaurin representation of sin x
A pattern emerges!
The most amazing conclusion in mathematics!
Approximating a function with a Taylor Polynomial