Theorem 1: Pinch theorem

The mathematics we learned in those years ： Pinch theorem , A theorem that science students will never forget (360doc.com)

Advanced Mathematics —— Pinch theorem _Java The blog of the whole stack R & D Alliance -CSDN Blog _ Pinch theorem

expand : The growth rate of factorial is greater than square

Theorem 2: Monotone bounded sequence has limit

We usually use these two sentences when doing questions : A monotonic increase has an upper bound and a limit , A monotone minus has a lower bound and a limit

summary ; Pinch force and bounded reality are not commonly used to do problems , Unless it's proof , Or the choice of multiple-choice questions  

Two important limits  

Use the method of rounding up to approach these two important limits

notes ： It must be a plus sign , But a minus sign will appear in the question , This is where we're going to put the minus sign on the denominator  

Advanced Mathematics —— Two important limits _Java The blog of the whole stack R & D Alliance -CSDN Blog _ Critical limit

Example  

  The example in the above figure will use the double angle formula of high school , Bloggers have long forgotten all their high school knowledge , So I searched the Internet Double angle formula _ Senior three (gaosan.com)