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

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

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

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

7

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{7}{0 + 1}

Simplify

= 7

(2 a + 1)^{2}

\frac{s + 2}{s ^{2} + s + 1}

\int_{1}^{\infty} x^{- 2} d x

\frac{\partial}{\partial x} (arctan (\frac{x}{2}))

\frac{d}{d x} (y e^{- 3 x})

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