I have made it through my second week of calc and I have not died yet so things are looking pretty good. This week we learned about limits. Limits are the values that a function approaches as x approaches some number. There are different ways to find the limit of a function. The easiest way to find a limit (and my personal favorite because I am a lazy bum) is to use direct substitution. To do that I would just substitute the number that x is approaching for x. So basically if the thing is lim x->2 x2 -3x/x+3 then I would do 22-3*2/2+3 to get -⅖. So that means that lim x->2=-⅖. (I would have figured out the fancy way to write all of that out but it is 10:30 and I am tired so let’s just pretend that I did) Another way to find the limit of something would be to graph it. So I love my calculator and all but I really like Desmos for this. All I have to do is type in my function and then add a slider. Then it tells me the y values for whatever x values I put in using the slider. It is actually pretty nifty. I didn’t really understand this too well when we first started talking about it but now I get it. The video really helped so that was good. Now I understand how to do this so yay! Math!
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