lim(x->0+) sin(1/x) / (1/x)

sesuai teorema
lim  (sin ax)/ax = 0
x->0
maka lim sin(1/x) / (1/x) = 0
        x->0

[tex] \lim_{x \to 0} \frac{sin( \frac{1}{x} )}{ \frac{1}{x} } =\lim_{x \to 0} x.sin( \frac{1}{x} ) \\ \\ =0[/tex]