calculus questions for new semester

I have two more files that need to get uploaded. I was not able to upload them only certain ones.

Paradox: • Consider the distance between you and me. • To reach you, I must cover half the distance between us. • The gap that remains, I must cover have the distance of that new gap. Paradox: • You are driving 60 mph at a given instant. means we can make f(x) as close to L as we desire by taking x to be sufficiently near x = a, but not equal a. (Note that f(x) may or may not exist at a.) For example: means we can make as close to _____ as we desire by taking values of near x = __

We can look at this numerically : x can approach 3 from the _____ x can approach 3 from the _____ Either way, the values of f(x) get closer and closer to _____. x is approaching _____ ASU copyright, 3/22/2014 Limits: Numerical and Graphical Approach 3 ( ) 5 lim x f x   We can look at this graphically: x is approaching 3 As x gets close to a = _____ f(x) gets close to L = _____ ASU copyright, 3/22/2014 Limits: Numerical and Graphical Approach Limits: One Sided Limits ( ) lim x a f x L    Means we can make f(x) as close to L as we desire by taking x to be sufficiently near x = a where x > a. That is, as x

 

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