Difference between revisions of "Calculus:Limits"

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example 1
example 1


<math> \lim_{x \to a} f(x) = {x^2-1 \over x-1} </math>
<math> \lim_{x \to a} f'(x) = {x^2-1 \over x-1} </math>
[[File:Screen Shot 2021-08-28 at 8.02.52 PM.png|thumb]]
[[File:Screen Shot 2021-08-28 at 8.02.52 PM.png|thumb]]


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Denominator can't be 0 so it is undefined at that point.
Denominator can't be 0 so it is undefined at that point.


But in the graph if a = 1 it looks like it is than f(x) = 4
But in the graph if a = 1 it looks like it is than f'(x) = 4

Revision as of 12:17, 29 August 2021

When you see this equation it means you are try to let x approaches a.

You may have a question why can't we just write it as

some times we can't tell what is the F(a) equals to.

example 1

Screen Shot 2021-08-28 at 8.02.52 PM.png

But If a = 1 then you will get

Denominator can't be 0 so it is undefined at that point.

But in the graph if a = 1 it looks like it is than f'(x) = 4