-one thing i don't get about limits is when to plug it it. because occasionally you have to solve first then you can plug it in. what makes it right to solve first then plug it in until it cannot simplify any longer???
ex: lim 1/2+x-1/2/x
x-->
to solve first you ave to find the least common demonator for the fractioned numerator but why cant you just
what i do get.
2. the limit of a constant will always give you that constant as the answer.
3. you can occasionally brake limits apart. that can make it easier because you ccan then find the limit for the separate equations.
1. If the function is continuous and you know there's no holes, jumps, or asymptotes at that point x=c, then plug it in! Basically, IF YOU CAN, PLUG IT IN. We like simply plugging it in.
ReplyDeleteIf you cannot, however, you try to simplify and then plug in. If you still can't, then it's probably an asymptote.
In that example you gave, you can't plug 0 in because if you do, you divide by 0.