What is infinitesimal ... like the one above.
How did this happen? Tongji version of Gao Shu didn't say emmm, so I drew a picture with calculation, trying to find out the secret I couldn't tell.
Emmm, if there are enough small rectangles, the total area of rects will be more accurate. If you don't know this, you can look at the infinitesimal method.
When I use the area of countless small rectangles to represent the area surrounded by this function, the area of small rectangles tends to be very small (infinitesimal), but it is still not zero.
It can be concluded that the sum of countless infinitesimals is not necessarily infinitesimal.
Infinitesimal is a trend that tends to zero, so there is a degree of speed.
So when we are infinite, we generally don't need to add, subtract, multiply and divide. This does not show the speed of infinitesimal change, which leads to the concepts of high-order infinitesimal and equivalent infinitesimal.
So the key question is, where do those equivalent infinitesimals come from, emm? On the whole, it seems that it can be proved, then
How can this be proved?
So, I haven't learned enough. Look at the Taylor expansion. Taylor formula is a formula that uses the information of a function at a certain point to describe the value near it, that is, it is possible to turn an irrational number function into a rational function.
O (x 3) So we really can't use the equivalent infinitesimal subtraction at this time.
Now let's take a look at the definition of Baidu. Is it better understood?
Infinitesimal is a concept in mathematical analysis. In classical calculus or mathematical analysis, infinitesimal usually appears in the form of functions and sequences. [1] Infinitely small quantity is a variable with a limit of 0, which is infinitely close to 0.
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