limit as x approaches 1 of 1+1/(x-1)

解答

x \to 1 lim (1 + \frac{1}{x - 1})

发散

求解步骤

x \to 1 lim (1 + \frac{1}{x - 1})

若

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

则极限不存在

x \to 1 + lim (1 + \frac{1}{x - 1}) = \infty

x \to 1 - lim (1 + \frac{1}{x - 1}) = - \infty

= 发散

\int 2 cos (2 x) d x

\int \frac{4 x}{50 - x ^{2}} d x

t a y l or arctan (x^{2})

\frac{d y}{d x} - \frac{3 x ^{2}}{2 y} = 0

\frac{d}{d x} (arctan (2 x^{4}))