- #1
Phuzz
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1. Sum the Geometric Series 1-x+x2-x3+x4
and hence simplify the function
[f(x)]4 = 1 - x5
1-x+x2-x3+x4
3. Not sure I quite get understand this properly, as my attempt doesn't seem quite right.
Basically I've gotten
S=1-x+x2-x3+x4
S=1-1+x-x2+x3
x x
which then subtracted becomes
s(1 - 1) = (1-1)+2x+x+x
x x
= 1 +4x
x
Then, putting that into the simplifying function part gives me
f(x) =
1 -x5
-1 +4x
x
and hence simplify the function
[f(x)]4 = 1 - x5
1-x+x2-x3+x4
Homework Equations
3. Not sure I quite get understand this properly, as my attempt doesn't seem quite right.
Basically I've gotten
S=1-x+x2-x3+x4
S=1-1+x-x2+x3
x x
which then subtracted becomes
s(1 - 1) = (1-1)+2x+x+x
x x
= 1 +4x
x
Then, putting that into the simplifying function part gives me
f(x) =
1 -x5
-1 +4x
x
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