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Friday 7 June 2013

Teori Dasar Limit | MatDas | SBMPTN

Teori Dasar Limit | MatDas | SBMPTN
Teori Dasar Limit | MatDas | SBMPTN


Hai teman-teman!
Kali ini saya akan membagikan teori dasar limit.
Langsung saja pada teorinya

Misalkan :
$n$ itu bilangan bulat positif
$k$ itu konstanta
$f$ dan $g$ adalah fungsi yang mempunyai limit di $c$
Sehingga


  1. $\lim_{x \to c} k = k$

  2. $\lim_{x \to c} x = c$

  3. $\lim_{x \to c} k f(x) = k \lim_{x \to c} f(x)$

  4. $\lim_{x \to c} [f(x) + g(x)] = \lim_{x \to c} f(x) + \lim_{x \to c} g(x)$

  5. $\lim_{x \to c} [f(x) - g(x)] = \lim_{x \to c} f(x) - \lim_{x \to c} g(x)$

  6. $\lim_{x \to c} [f(x) . g(x)] = \lim_{x \to c} f(x) . \lim_{x \to c} g(x)$

  7. $\lim_{x \to c} \frac{f(x)}{g(x)} = \frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}$ terjadi saat $\lim_{x \to c} g(x) \neq 0$

  8. $\lim_{x \to c} [f(x)]^{n} = \left(\lim_{x \to c} f(x)\right)^{n}$

  9. $\lim_{x \to c} \sqrt[n]{f(x)} = \sqrt[n]{\lim_{x \to c} f(x)}$, terjadi saat $\lim_{x \to c} f(x) > 0 $ketika$ n $bilangan genap



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