Narrated ‘Abdullah (radiallaahu `anhu):
The Prophet (sallallaahu `alayhi wasallam) fasted for days continuously; the people also did the same but it was difficult for them. So, the Prophet (sallallaahu `alayhi wasallam) forbade them (to fast continuously for more than one day). They slid, “But you fast without break (no food was taken in the evening or in the morning).” The Prophet (sallallaahu `alayhi wasallam) replied, “I am not like you, for I am provided with food and drink (by Allah).”
The Prophet (peace and blessings of Allaah be upon him) used to fast continually, and Allaah gave him the strength to do that, but he forbade his ummah to do that out of compassion and mercy towards them.
Shaykh Ibn ‘Uthaymeen said in al-Sharh al-Mumti’, 6/443:
It appears that the ruling with regard to continual fasting is that it is haraam.
And Allaah knows best.
Narrated Anas bin Malik (radiallaahu `anhu):
The Prophet (sallallaahu `alayhi wasallam) said, “Take Suhur as there is a blessing in it.”
Having the pre-dawn meal or suhoor is highly recommended. There’s blessing in FOOD. How can you not appreciate that? :P
Having said that, you must know that having suhoor is not a ‘condition’ for the fast to be valid. If you missed it due to sleep or some other reason, you may continue your fast without hesitation.