ARTICLE
Introduction to Limits
Limits are the base of calculus. Almost all of calculus revolves around the simple idea of limits. They are easy to understand, though they can be used in more complex ways.
ISAIAH LOPEZ
Limits are the base of calculus. Almost all of calculus revolves around the simple idea of limits. They are easy to understand, though they can be used in more complex ways.
ISAIAH LOPEZ
So, suppose you have the function: f(x)=1/2x (Graph labeled wrong). You would graph that function in a graph where the function of x is equal to y. The domain of the function would be all real numbers, even zero because half of zero is zero. You could make x=2 and the function would be f(2), making the final equation one. That would work for every real number you choose.
But what if you didn't want it to work for every single real number. What if you wanted it to work for every real number except 3 and when you set x=3, the result would be undefined. You could set what is called a limit. The limit would ensure that the function of x (f(x)) would be equal to 1/2x for all values of x except 3, and that the domain can't be three. So a limit is pretty much approaching a number but can't equal the number itself.
I hope you learned a thing or two about limits today. Now don't limit yourself and check out more on The Four Cells!