limit as x approaches 0 of ((arctan(4x)))/(ln(x))

解答

x \to 0 lim (\frac{( arctan ( 4 x ) )}{ln ( x )})

不存在

求解步骤

x \to 0 lim (\frac{arctan ( 4 x )}{ln ( x )})

若

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

则极限不存在

x \to 0 + lim (\frac{arctan ( 4 x )}{ln ( x )}) = 0

x \to 0 - lim (\frac{arctan ( 4 x )}{ln ( x )}) =

不存在

= 不存在

\frac{\partial}{\partial x} (ln (4 x + 5 y))

x \to 0 + lim (e^{- 2 x} ln (x))

t a y l or \frac{1}{x}, 3

d er i v a t i v e \frac{1}{2} x y

d er i v a t i v e 6 x + \frac{16}{3}