# Fermat's method of calculus

I've attached my question as a file and here is the resource I was looking at https://cedar.wwu.edu/cgi/viewcontent.cgi?article=1012&context=wwu_honors

• Aman R

what is the question?

• Aman R

you are asking why does this actually work even after answering the same. But you are also sayng you wont get anywhere

• Daniel90

• Markgvanzalk

my question basically is why does this method work to give you a tangent line? specifically the steps where you divide by e and then plug 0 in for e

Answers can be viewed only if
1. The questioner was satisfied and accepted the answer, or
2. The answer was disputed, but the judge evaluated it as 100% correct.
• Markgvanzalk

can you explain further the last part you wrote?

• Mathe

In essence, this procedure allows to find the x-axis cross value as a limit operation. When we replace T(x+epsilon) by f(x+epsilon) we are thinking of a sufficiently small epsilon for this to make sense. This is a limit operation t that is quite literally based on Taylor first order approximation.

• Mathe