Biz birinchi $ g {\\displaystyle g} = x $ bo'lgan eng oddiy holatni ko'rib chiqamiz, keyin biz natijani aniqlash uchun zanjir qoidasidan foydalanishimiz mumkin. Shunday qilib, $ e ^ {x} $ uchun, hosila ta'rifi bo'yicha cheklangan nisbat sifatida, $ $ \lim_{h \to 0} \frac {e^{x} + h} - e^{x}} {h} = e^{x} \lim_{h\to 0} \frac {e^h - 1} {h} $ $ bo'lgan oxirgi chegara faqat $ $ bo'lgan holda, uni $ e^h = \sum_{n=0}^{+\in} fiftyfrac {\h^{n}! $ ta'rifining oqibatida ko'rish mumkin. Oxirida, biz $ e^{
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