limit as x approaches infinity of 52.2+(41.9e^{(-0.055x)})

解

x \to \infty lim (52.2 + (41.9 \cdot e^{(- 0.055 \cdot x)}))

52.2

解答ステップ

x \to \infty lim (52.2 + 41.9 e^{- 0.055 x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

不定形式の場合を除く

= x \to \infty lim (52.2) + x \to \infty lim (41.9 e^{- 0.055 x})

x \to \infty lim (52.2) = 52.2

x \to \infty lim (41.9 e^{- 0.055 x}) = 0

= 52.2 + 0

簡素化

= 52.2