In this video we do a bunch of problems that involve finding limits based on two given graphs, f(x) and g(x). Some of them involve limits of compositions, limits of products, limits of sums, and limits of quotients. The final limit requires L'Hopital's Rule (or L'Hospital's Rule, if you prefer). Here's a link to some blank graphs of f(x) and g(x) that you can use for each problem: [ Ссылка ]
Time Stamps:
[0:00] Intro
[0:52] limit of f(f(x))
[4:25] limit of g(f(x))
[7:33] limit of g(g(x))
[10:23] limit of f(x)g(x)
[12:12] limit of f(x) + g(x)
[14:06] limit of f(g(x))
[17:34] limit of g(x)f(x+1)
[21:12] limit of 2f(x) + g(x)
[22:41] limit of g(x)/g(2x+1)
All of the questions here could definitely show up on an AP Calculus AB or BC exam (probably multiple choice but you never know). These topics are from Unit 1 but these are much more challenging than you'd see the first time through. More like what you'd see on the exam in May. These are great practice.
