What is the limit as y approaches 0 of 7/(y^2+y)-7/y ?

The limit as y approaches 0 of 7/(y^2+y)-7/y is -7

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limit as y approaches 0 of 7/(y^2+y)-7/y

y \to 0 lim (\frac{7}{y ^{2} + y} - \frac{7}{y})

- 7

Solution steps

y \to 0 lim (\frac{7}{y ^{2} + y} - \frac{7}{y})

Simplify

\frac{7}{y ^{2} + y} - \frac{7}{y} : - \frac{7}{y + 1}

= y \to 0 lim (- \frac{7}{y + 1})

Plug in the value

y = 0

= - \frac{7}{0 + 1}

Simplify

= - 7

5 e^{- x}

f^{^{'}} (x) = sin (x^{2})

\frac{d}{d x} ((sin (x))^{l n (x)})

\frac{\partial}{\partial x} (x^{2} y + 5 y^{3})

\frac{d x}{d t} = 3 t^{2} (x^{2} + 4)

What is the limit as y approaches 0 of 7/(y^2+y)-7/y ?
The limit as y approaches 0 of 7/(y^2+y)-7/y is -7