Series Flashcards
1
Q
Taylor series of f(x) about x=a
A
f(x)=f(a)
+(x-a)f’(a)
+(x-a)^2/2! f’‘(a)
+(x-a)^3/3! f’’‘(a)
+ …
2
Q
Power series expansion of exp(x)
A
1
+x
+x^2/2!
+x^3/3!
+…
3
Q
Power series expansion of exp(-x)
A
1
-x
+x^2/2!
-x^3/3!
+…
4
Q
Power series expansion of ln(1+x)
A
x
-x^2/2!
+x^3/3!
-x^4/4!
+…
5
Q
Power series expansion of (1+x)^a
A
1
+ax
+(a)(a-1)/2! x^2
+(a)(a-1)(a-2)/3! x^3
+…
6
Q
Power series expansion of coshx
A
1
+x^2/2!
+x^4/4!
+x^6/6!
+…
7
Q
Power series expansion of sinhx
A
x
+x^3/3!
+x^5/5!
+x^7/7!
+…
