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Zenmo
 one year ago
Very small question (will probably take a second), help me understand this textbook example. ~Calculus Limits & Derivatives.
Zenmo
 one year ago
Very small question (will probably take a second), help me understand this textbook example. ~Calculus Limits & Derivatives.

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thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1Why is \(\lim_{x\to a}(xa)\neq 0\)? \(aa=0\).

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.1So, substitute 0 in \[\lim_{x \rightarrow a}(xa) \] to get aa=0?

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1Since \(f(x)=xa\) is continuous you can do that.

thomas5267
 one year ago
Best ResponseYou've already chosen the best response.1Continuity of \(f(x)=xa\) can be proven using \(\epsilon\text{}\delta\) definition of limit.
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