BUS 111 Lecture 7: BUS111_0005_10-19-15
Document Summary
Def: let f be a function and let a and l be numbers. We say that l is the limit of f as x approaches a if f(x) gets closer and closer to l as x gets closer and closer to a. Example: let us find the limit as x approaches infinity of the function f(x)=(1+ 1/x)x. Comment: typically there are 2 sides to each number we could want to approach: the left (slightly smaller) and the right (slightly larger). In order for a limit to exist, we need the limit as x a from the left, and the limit as x a from the right. If not, we say, (cid:498)the limit does not exist(cid:499) or (cid:498)dne(cid:499) Example: find the limit as x approaches 3 of 2x+5. Lim 2x+5 = 11 x 3- right hand limit x. 11. 0002 so the limit x 3 2x+5 = 11. Fact: if you can plug in the (cid:498)a(cid:499) in a limit, you do so.
