* Check the sticker: Look for the sticker on the driver's side doorjamb. This sticker lists the GVWR (Gross Vehicle Weight Rating), and often the towing capacity.
* Consult the owner's manual: Your owner's manual will have the most accurate information for your specific vehicle configuration.
Without knowing your Suburban's specific engine (5.7L or 7.4L) and options, I can only give you a *general range*. Expect the towing capacity to be somewhere between 6,000 and 8,500 lbs, but this is just an estimate. Always rely on the information found on your vehicle's sticker and owner's manual.