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人気のある微分積分 >

limit as x approaches infinity of ln(x+2)-ln(x+3)

解

x \to \infty lim (ln (x + 2) - ln (x + 3))

解

0

解答ステップ

x \to \infty lim (ln (x + 2) - ln (x + 3))

対数の規則を適用する:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (x + 2) - ln (x + 3) = ln (\frac{x + 2}{x + 3})

= x \to \infty lim (ln (\frac{x + 2}{x + 3}))

連鎖法則の制限を適用する:

0

= 0

グラフ

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