MATH127 Lecture 7: Sept 23rd- The limit of a function
1 Oct 2016
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Where this sequence gets closer and closer to 0 (converges to 0), but never gets to it (but still arbitrarily close) Ex; standing at the top of a 100m high cliff. As i get closer to the edge, i"m still at altitude 100m. Where 0 is the cliff (any further and you fall 100m) From the top of the cliff, it looks like h(0) =100, but it"s not. To fin what number we approach as x approaches 0 from the left, we can (conceptually) ignore what happens at x=0 and x>0. More generally for f(x), the left hand limit similarly- from the right we say this is true if l subscript l can be found. What are lim f(x) as x-> 1^- and lim f(x) as x -> 1^+ Because we (and the functions) don"t care if what happens at x=1, we only care about what the function.
