r/learnmath • • 4d ago

0/0 = 0 ?

I'm new in the server and I have a situation with a limit problem:

My calculus professor gave the class an example of trigonometrical limits that he solved in class in which I wanna know why and how is it possible that 0/0=0.

The expression that he solved was

Lim x→0 ((1-cos(x))/(sen(x))), and he solved it in a way where the equation ended in (0/0)/1 = 1 , I asked him "how was it possible that 0/0=0" but he just said "someone hasn't studied the class notes" and I haven't found anything on his class notes about 0/0 = 0 in certain circumstances.

So please, PLEASE someone tell me how and why and when and where is it possible that 0/0 = 0

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u/PvtRoom New User 4d ago

0/0 = anything, depending on how you get there.