If I were a university admissions tutor I wouldn't think there was anything wrong with a single use in the closing paragraph, as the above poster mentioned. I would understand what you meant.
At the same time, if you think it's risky, I'm not sure it adds or subtracts much to the message either way. There are different ways to say the same sort of thing in a positive way:
"I am certain a university course will provide me with these opportunities."
"I look forward to third-level study in this subject with confidence."
etc.
You say it adds a more personal touch, and I agree that it does. It addresses the reader. BUT it adds a personal touch to what is otherwise an impersonal document - you're talking about yourself and your reasons for studying your subject. It seems a little farcical to me then to end on a personal note.
Put simply, you're saying "This is why I'd like to study at YOUR university", after you've only explained why you want to study at ANY university, and not specifically theirs.