limit as x approaches 14-of 15x+ln(14-x)

解答

x \to 14 - lim (15 x + ln (14 - x))

- \infty

求解步骤

x \to 14 - lim (15 x + ln (14 - x))

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

不定型除外

= x \to 14 - lim (15 x) + x \to 14 - lim (ln (14 - x))

x \to 14 - lim (15 x) = 210

x \to 14 - lim (ln (14 - x)) = - \infty

= 210 - \infty

运用无穷大属性:

c - \infty = - \infty

= - \infty

l a pl a ce t r an s f or m (1 + e^{- t})^{2}

t an g e n t y = x^{s i n (x)}

d er i v a t i v e t^{2} - 8 t + 16

\frac{d}{d x} ((2 x)^{6 x})

x \to - \infty lim (x^{2} e^{- 3 x})