Limit as x->0 of sin(1/x)

[mathdd]

Hi,

I feel like this is fairly simple and I'm forgetting something, but it's been a while since I've done basic limits and this is giving me trouble.

Limit as x->0 of sin(1/x)

I know that the limit doesn't exist, but I don't know how to get there. Thanks

 

[pka]

Hi,

I feel like this is fairly simple and I'm forgetting something, but it's been a while since I've done basic limits and this is giving me trouble. I know that the limit doesn't exist, but I don't know how to get there. Thanks

Have a look HERE.
From the plot, explain why the limit cannot exist.

 

[TheodoreHDillard]

Sin(1/x) Wobbles

The reason the limit doesn't exist is because the graph wobbles up and down from -1 to 1 as you cross the origin.