What does it mean if a limit is zero? A limit exists if the left hand limit = the right hand limit. That’s it. So it doesn’t matter what it equals, as long as the left and right hand limits are equal, it exists. so yes, if a limit equals zero, it exists.
How do you solve 0 0 as a limit? So, L’Hospital’s Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit.
What if a limit is 0 0? When simply evaluating an equation 0/0 is undefined. However, in taking the limit, if we get 0/0 we can get a variety of answers and the only way to know which on is correct is to actually compute the limit.
Is 0 0 undefined or infinity? Similarly, expressions like 0/0 are undefined. But the limit of some expressions may take such forms when the variable takes a certain value and these are called indeterminate. Thus 1/0 is not infinity and 0/0 is not indeterminate, since division by zero is not defined.