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 diverges

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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})

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

x y^{^{''}} + 2 y^{^{'}} - 4 = 0

x y^{^{'}} + y = 3 x y^{2}

\frac{\partial}{\partial y} (x^{2} y + 3 x y^{4})

\frac{d}{d x} (7 x^{\frac{3}{2}})

\int \frac{x}{x ln ( x )} d 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 diverges