MATA32H3 Lecture Notes - Asymptote, If And Only If, Farad
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MATA32H3 Full Course Notes
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The idea or concept of limit is the foundation of all of calculus (i. e. derivatives and integrals). Main definition (p. 461) (limit of a function at one point). Let y=f(x) be a given function and a r. We write where l r to mean that the function values f(x) can be made arbitrarily close to l (and they stay close to l) provided x is close to a) but x a. If there is no real number l as above, then we write ( ) dne (does not exist). As t 2, there is no one single real number l such that s(t) l. The graph shows ( ) dne because l r : g(x) l as x 0, x 0. A lot of our interest is being able to calculate limits. There exists , there does not exist , such that . Tools for finding limits- i. e. limit properties (pg.
