00:01
Okay, we are going to find the mclaurin polynomial degree n, which our n is four, for the function f of x equals e to the 3x.
00:11
So first of all, you know that your mclaurin polynomial for e to the x.
00:17
Every time you take a derivative of e to the x, you end up getting e to the x.
00:23
So when you place in zero, if you're centered at zero, and mclaren is always centered at.
00:30
Zero, e the zero powers one.
00:33
So it's a really nice function.
00:34
It ends up just being our value of one plus kind of the one times x plus the one times x squared over two factorial and then plus x to the third over three factorial.
00:49
And finally x to the fourth over four factorial.
00:53
So what happens when instead we have e to the three x? well, you can think of it as instead of an x, we're going to be placing into 3x...