Can a 70 year old use vitamin C serum?

I'm curious to know, could a 70-year-old individual safely use a vitamin C serum? As we age, our skin goes through changes and can become more delicate. Are there any age-related concerns or precautions that one should be aware of when incorporating a vitamin C serum into their skincare routine? Are there any specific formulas or concentrations that might be more suitable for older skin? Your insight would be greatly appreciated.