Assuming you have no history in loudspeaker repair; You will not be able to view nor do anything about a potentially damaged or melted voice coil.
You can, however, test whether or not the driver has continuity, by using a 9V battery or a multimeter-set to Continuity. Do this directly to the driver, after any amplifiers or passive crossovers built into the speaker cabinet.
Testing a speaker using a 9V battery...
https://www.youtube.com/watch?v=xIMHGkxw72o
As a side note, you can also use the battery method to test a tweeter (hi-freq) driver. But use either a AA or AAA battery, DO NOT use the 9V for tweeters.