Zenmo
  • Zenmo
Very small question (will probably take a second), help me understand this textbook example. ~Calculus Limits & Derivatives.
Mathematics
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Zenmo
  • Zenmo
Very small question (will probably take a second), help me understand this textbook example. ~Calculus Limits & Derivatives.
Mathematics
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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Zenmo
  • Zenmo
How is that 0?
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thomas5267
  • thomas5267
Why is \(\lim_{x\to a}(x-a)\neq 0\)? \(a-a=0\).
Zenmo
  • Zenmo
So, substitute 0 in \[\lim_{x \rightarrow a}(x-a) \] to get a-a=0?

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Zenmo
  • Zenmo
substitute 0 for a*
thomas5267
  • thomas5267
Since \(f(x)=x-a\) is continuous you can do that.
Zenmo
  • Zenmo
Ok. Thanks! :)
thomas5267
  • thomas5267
Continuity of \(f(x)=x-a\) can be proven using \(\epsilon\text{-}\delta\) definition of limit.

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