Taking the first few items of a list until a target sum is exceeded

I'm a rank beginner in Python, and I am working my way through various relevant OpenCourseware modules. In response to the prompt


Write a procedure that takes a list of numbers, nums, and a limit,
limit, and returns a list which is the shortest prefix of nums the sum
of whose values is greater than limit. Use for. Try to avoid using
explicit indexing into the list.

I wrote the following simple procedure

def numberlist(nums,limit):   
    sum=0  
    i=0  
    for i in nums:  
        sum=sum+i  
        if sum>limit:  
            return i  
        else:  
            print i

It gets the job done, but the division of labor between if and else seems inelegant, as does the use of both return and print. Is there a better way to structure this basic loop?

So, a couple things:

-
The problem statement says nothing about printing data, so you can omit the print statement, and thus the entire else: clause, entirely.

-
The problem statement says to return a list, and you're just returning the last item in that list, not the entire list.

Here's a short but inefficient way to do it:

def numberlist(nums, limit):
    i = 0
    while sum(nums[:i]) < limit:
        i += 1
    return nums[:i]

or a more efficient but longer way:

def numberlist(nums, limit):
    prefix = []
    sum = 0
    for num in nums:
        sum += num
        prefix.append(num)
        if sum > limit:
            return prefix

StackExchange Code Review Q#12753, answer score: 9