The point $P(1,0)$ lies on the curve $y=\sin(10\pi/x)$.
If $Q$ is the point $(x,\sin(10\pi/x))$, find the slope of the secant line $PQ$ (correct to four decimal places) for $x=$ 2, 1.5, 1.4, 1.3, 1.2, 1.1, .5, .6, .7 .8, .9.
(Do the slopes appear to be approaching a limit?)

At $x=2.0:$
At $x=1.5:$
At $x=1.4:$
At $x=1.3:$
At $x=1.2:$
At $x=1.1:$
At $x=0.5:$
At $x=0.6:$
At $x=0.7:$
At $x=0.8:$
At $x=0.9:$