limit as x approaches 2 of (x-2)/(|x-2|)

解答

x \to 2 lim (\frac{x - 2}{∣ x - 2 ∣})

发散

求解步骤

x \to 2 lim (\frac{x - 2}{∣ x - 2 ∣})

若

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

则极限不存在

x \to 2 + lim (\frac{x - 2}{∣ x - 2 ∣}) = 1

x \to 2 - lim (\frac{x - 2}{∣ x - 2 ∣}) = - 1

= 发散

\int sin (2 x) e^{(3 x)} d x

y \to 0 lim (\frac{0}{y ^{2}})

in v erse l a pl a ce \frac{1}{( s + 1 ) ( s + 3 ) ^{2}}

\int \frac{x ^{3} + 6 x ^{2} + 2 x + 3}{x ^{2} + 6 x + 1} d x

\int 5 x 3 1 - x^{2} d x