|x-5|<&=>|3x-15|<€ tentukan delta serta epsilon implikasi

Materi Limit

[tex] \text{Pernyataan}~|x-5| < \delta \Rightarrow |3x-15| < \epsilon \\ \text{Ambil}~\delta = \dfrac{\epsilon}{3} \\ |x-5| < \dfrac{\epsilon}{3} \\ \text{kalikan 3 di kedua ruas}\\ |3x-15| < \epsilon [/tex]
Terbukti