※ 引述《bitchdog (PEaCE)》之銘言：
: If ︳f(x)︳ ≦ B for all x , show that lim x^2( f(x))=0
: x→0
0 ≦ |f(x)| ≦ B for all x
0 ≦ |(x^2)(f(x))| ≦ (B)(|x^2|)
lim 0 ≦ lim |(x^2)(f(x))| ≦ lim (B)(|x^2|)
x→0 x→0 x→0
Since lim 0 = 0 = lim (B)(|x^2|) ,
x→0 x→0
by the squeeze theorem , lim |(x^2)(f(x))| = 0 => lim (x^2)(f(x)) = 0
x→0 x→0
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