如何检查C#的json对象中是否存在嵌套路径？

using Newtonsoft.Json.Linq;

public bool CheckNestedPathExists(JObject json, string path)
{
    JToken token = json.SelectToken(path);
    return (token != null);
}

JObject json = JObject.Parse("{\"name\": {\"first\": \"John\", \"last\": \"Doe\"}}");
string path = "name.first";
bool exists = CheckNestedPathExists(json, path);
Console.WriteLine("Path exists: " + exists);

Path exists: True