limit as x approaches 4 of (4-x)*ln(x-4)

解答

x \to 4 lim ((4 - x) \cdot ln (x - 4))

不存在

求解步骤

x \to 4 lim ((4 - x) ln (x - 4))

若

x \to a^{-} lim f (x) \neq = x \to a^{+} lim f (x)

则极限不存在

x \to 4 + lim ((4 - x) ln (x - 4)) = 0

x \to 4 - lim ((4 - x) ln (x - 4)) =

不存在

= 不存在

x \to 3 lim (\frac{x ^{3} - 2 x ^{2} - 4 x + 8}{3 x ^{2} + 3 x - 6})

x \to \infty lim (\frac{3 x ^{3} - 4 x ^{2} + 2}{x ^{3} + 2 x + 7})

x \to 3 lim (3 x + 4)

x \to 0 lim (\frac{x}{1 + 3 ^{\frac{1}{x}}})

x \to \infty lim ((\frac{3 n + 1}{5 + 3 n})^{n^{2} + 2})