limit as m approaches 0 of 5/(m^2+m)-5/m

解答

m \to 0 lim (\frac{5}{m ^{2} + m} - \frac{5}{m})

- 5

求解步骤

m \to 0 lim (\frac{5}{m ^{2} + m} - \frac{5}{m})

化简

\frac{5}{m ^{2} + m} - \frac{5}{m} : - \frac{5}{m + 1}

= m \to 0 lim (- \frac{5}{m + 1})

代入值

m = 0

= - \frac{5}{0 + 1}

化简

= - 5

x \to - \infty lim (e^{6 x})

x \to 2 - lim (\frac{x}{2})

x \to \frac{π}{2} - lim (- ln ∣ cos (x) ∣)

x \to 0 lim (x^{3} sin (\frac{2}{x}))

x \to 5 lim (\frac{5 - x}{5 - x})