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racer
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Hey there
Find the lim of F(X) as X approaches zero
F(X) = 0/X ( Zero over X )
Thanks.
Find the lim of F(X) as X approaches zero
F(X) = 0/X ( Zero over X )
Thanks.
Well its a constant function equal to 0 for all values of x not equal to zero. So we can see the limit is equal to 0.
You could also use l'Hopital and get the same answer as Gib_Z provided.
f(x) approaches L as x goes to a if and only if f(x_n) approaches L for any sequence of numbers x_n approaching a.
Let x_n be any sequence of numbers approaching 0. What is 0/x_n? What is the limit of that sequence.
Finding the limit of a function is the process of determining the value that a function approaches as its input approaches a specific value. This value is often referred to as the "limit point" or "limit value".
Finding the limit of a function can help us understand the behavior of the function at certain points and can also help us determine if a function is continuous at a specific point.
There are several methods for finding the limit of a function, including direct substitution, factoring, and using algebraic manipulations. Additionally, we can use graphs or tables to approximate the limit of a function.
One common mistake is assuming that a function is continuous at a specific point without properly evaluating the limit. Another mistake is using incorrect algebraic manipulations or not considering the possibility of a one-sided limit.
Yes, finding the limit of a function has real-world applications in fields such as physics, engineering, and economics. For example, in physics, the limit can be used to determine the speed of an object at a specific time, and in economics, it can be used to model the growth of a company or the demand for a product.