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微積分大一基礎(chǔ)知識(shí)經(jīng)典講解(完整版)

  

【正文】 that in finding the limit of f(x) as x tends to a, we never consider x=a. In fact, f(x) need not even be defined when x=a. The only thing that matters is how f is defined near a. LawsSuppose that c is a constant and the limitsexist. ThenNote From 2), we have 3. 1)2) Note Limits1)lefthand limitDefinition We write and say “f(x) tends to L as x tends to a from left ”if we can make the values of f(x) arbitrarily close to L by taking x to be sufficiently close to a and x less than a.2)righthand limitDefinition We write and say “f(x) tends to L as x tends to a from right ”if we can make the values of f(x) arbitrarily close to L by taking x to be sufficientl
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