What is the limit as m approaches 0 of 5/(m^2+m)-5/m ?

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

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

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

- 5

Solution steps

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

Simplify

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

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

Plug in the value

m = 0

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

Simplify

= - 5

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

x \to 0 lim (\frac{3}{5 x ^{4}})

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

x \to b lim (5 x^{2} + b)

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

What is the limit as m approaches 0 of 5/(m^2+m)-5/m ?
The limit as m approaches 0 of 5/(m^2+m)-5/m is -5