Sending invoice with one broken email-address

Sending invoice with one broken email-address

hi, 
have noticed one strange thing 
I have to send invoices to one my client on 6 email-addresses. I do it through Zoho. 


One of that email-address sometimes works sometimes - not (sometimes I recieve letter "Undelivered Mail Returned to Sender" )


nevertheless it is important to me to keep it in the recipient. 

My problem is that when this one e-mail does not work, all other recipients receive not full letter (invoices are in attachment, but the text is not completely). 

Please tell me why this is happening? can you fix it?