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Examples from the TeXbook (Chapter 18)
TeXbook p. 162sin2 =2sin
cos
O(nlognloglogn)Pr(X
x)=exp(−x
)
max1 n
mlog2Pnlimx
0xsinx=1
TeXbook p. 163, Exercise 18.2p1(n)=limm =0
1−cos2m(
!n
n)
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TeXbook p. 163Var(X)xmax−xmaxLL(k)
LR(k)
exp(x+constant)x3+lower order terms
limn xn exists
limsupn
xn=liminfn
xn
TeXbook p. 164gcd(m n)=gcd(n
mmodn)x
y+1(modm2)
kn
k
p
n
p
kmodpnmodp
(modp)
a+b= m
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