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

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

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

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

- 5

Solution steps

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

Simplify

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

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

Plug in the value

y = 0

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

Simplify

= - 5

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