limit as x approaches+0 of x*ln(2x)

解答

x \to + 0 lim (x \cdot ln (2 x))

不存在

求解步骤

x \to 0 lim (x ln (2 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 (x ln (2 x)) = 0

x \to 0 - lim (x ln (2 x)) =

不存在

= 不存在

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

x \to 1 lim (\frac{10 - x - 8 + x}{x ^{3} - 1})

x \to - 3 + lim (- \frac{sin ( c - 3 x )}{e ^{5 x + 15} - 1})

x \to 0 + lim (\frac{e ^{x} - 1 - x}{x ^{2}})

t \to \infty lim (t e^{t})