How can I create persistent cookies in ASP.NET?

I am creating cookies with following lines:

HttpCookie userid = new HttpCookie("userid", objUser.id.ToString());
userid.Expires.AddYears(1);
Response.Cookies.Add(userid);

Now how can I make it persistent?

If I visit the same page again after closing the browser, I'm unable to get it back.

Here's how you can do that.

Writing the persistent cookie.

//create a cookie
HttpCookie myCookie = new HttpCookie("myCookie");

//Add key-values in the cookie
myCookie.Values.Add("userid", objUser.id.ToString());

//set cookie expiry date-time. Made it to last for next 12 hours.
myCookie.Expires = DateTime.Now.AddHours(12);

//Most important, write the cookie to client.
Response.Cookies.Add(myCookie);

Reading the persistent cookie.

//Assuming user comes back after several hours. several < 12.
//Read the cookie from Request.
HttpCookie myCookie = Request.Cookies["myCookie"];
if (myCookie == null)
{
    //No cookie found or cookie expired.
    //Handle the situation here, Redirect the user or simply return;
}

//ok - cookie is found.
//Gracefully check if the cookie has the key-value as expected.
if (!string.IsNullOrEmpty(myCookie.Values["userid"]))
{
    string userId = myCookie.Values["userid"].ToString();
    //Yes userId is found. Mission accomplished.
}

Although the accepted answer is correct, it does not state why the original code failed to work.

Bad code from your question:

HttpCookie userid = new HttpCookie("userid", objUser.id.ToString());
userid.Expires.AddYears(1);
Response.Cookies.Add(userid);

Take a look at the second line. The basis for expiration is on the Expires property which contains the default of 1/1/0001. The above code is evaluating to 1/1/0002. Furthermore the evaluation is not being saved back to the property. Instead the Expires property should be set with the basis on the current date.

Corrected code:

HttpCookie userid = new HttpCookie("userid", objUser.id.ToString());
userid.Expires = DateTime.Now.AddYears(1);
Response.Cookies.Add(userid);

FWIW be very careful with storing something like a userid in a cookie unencrypted. Doing this makes your site very prone to cookie poisoning where users can easily impersonate another user. If you are considering something like this I would highly recommend using the forms authentication cookie directly.

bool persist = true;

var cookie = FormsAuthentication.GetAuthCookie(loginUser.ContactId, persist);

cookie.Expires = DateTime.Now.AddMonths(3);

var ticket = FormsAuthentication.Decrypt(cookie.Value);

var userData = "store any string values you want inside the ticket
                 extra than user id that will be encrypted"

var newTicket = new FormsAuthenticationTicket(ticket.Version, ticket.Name,
     ticket.IssueDate, ticket.Expiration, ticket.IsPersistent, userData);

cookie.Value = FormsAuthentication.Encrypt(newTicket);

Response.Cookies.Add(cookie);

Then you can read this at any time from an ASP.NET page by doing

string userId = null;
if (this.Context.User.Identity.IsAuthenticated) 
{
    userId = this.Context.User.Identity.Name;
}