We have our domain registered with Godaddy, our hosting setup at Smarterasp and mail server in Zoho. We have provided custom MX records in Godaddy which points to Zoho for our mail delivery. We are in the process of launching our website and want to change Godaddy namservers with Smarterasp nameserver. When we change that mails are not reaching Zoho. Should we provide MX entries in Smarterasp DNS which points to zoho in order for our mail to work.

Is there a way we can get our website and mail delivery working without moving our domain from Godaddy?