Question

1.lim(n→∞)xsin3/x=

Answer 1

答：

1）

lim(x→∞) xsin(3/x)

=lim(x→∞) sin(3/x)/(1/x)

=lim(x→∞) 3sin(3/x)/(3/x)

=3

2)

lim(x→∞) arctan2x/x

=lim(x→∞) (π/2)/x

=0