Taylor Flashcards
1
Q
What is the series when Xo=0
A
Maclaurien series
2
Q
Taylor series of e^x about Xo=0?
A
Summation x^n / n!
Radius is infinity
3
Q
2nd order Taylor series terms?
A
f(Xo)/0! + f’(Xo)(X-Xo)^1 /1! +f’’(Xo)(X-Xo)^2 /2!
n! YEAH
4
Q
Where is the coefficient in this?
e(x-1)^3/n!
A
e/n!
5
Q
What derivation do you do for power series?
A
Term by term
6
Q
Power series?
A
Summation Cn(x-a)^n
7
Q
Convergence for power series?
A
Converges if: |x-a|<R
Diverges if: |x-a|>R
When R=infinity: converges for all x
When R=0: converges only at x=a
8
Q
Derivative of 1/1-x
A
1/(1-x)^2
9
Q
Arc length eq?
A
Integral and then square root of…
10
Q
r^2(cos^2x + sin^2x) = r^2
Converts to what?
A
x^2 + y^2 = r^2
11
Q
Tangent like eq?
A
y-y1 = dy/dx(x-x1)
dy/dx at the point…
