What is the limit as y approaches 0 of 6/(y^2+y)-6/y ?

The limit as y approaches 0 of 6/(y^2+y)-6/y is -6

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limit as y approaches 0 of 6/(y^2+y)-6/y

y \to 0 lim (\frac{6}{y ^{2} + y} - \frac{6}{y})

- 6

Solution steps

y \to 0 lim (\frac{6}{y ^{2} + y} - \frac{6}{y})

Simplify

\frac{6}{y ^{2} + y} - \frac{6}{y} : - \frac{6}{y + 1}

= y \to 0 lim (- \frac{6}{y + 1})

Plug in the value

y = 0

= - \frac{6}{0 + 1}

Simplify

= - 6

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

x \to 5 lim (x^{2} + 9)

x \to \infty lim (\frac{9}{2 x})

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

x \to 0 + lim ((3 x + 1)^{\frac{1}{x}})

What is the limit as y approaches 0 of 6/(y^2+y)-6/y ?
The limit as y approaches 0 of 6/(y^2+y)-6/y is -6