The age limit for elderly life insurance will depend on the life insurance carrier with whom you are applying for coverage. Individual carriers establish this limit as a matter of company policy.Some carriers will not issue beyond 75, some 80. There are many carriers that will offer coverage up to age 90.ach pet insurance company has different age limits for dogs and cats. Most companies will insure pets of any age but with limited coverage. For example, if your dog is 10 yea … rs old a company may offer accident only coverage but will not cover illnesses.