What is the limit as x approaches 8 of x/(x-8) ?

The limit as x approaches 8 of x/(x-8) is diverges

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limit as x approaches 8 of x/(x-8)

x \to 8 lim (\frac{x}{x - 8})

diverges

Solution steps

x \to 8 lim (\frac{x}{x - 8})

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

then the limit does not exist

x \to 8 + lim (\frac{x}{x - 8}) = \infty

x \to 8 - lim (\frac{x}{x - 8}) = - \infty

= diverges

\frac{d y}{d x} y = (x^{2} + 1)^{3}

y = 3 + 5 x^{2} - 2 x^{3}

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

x \to 7 lim (- x^{2} + 3 x - 8)

\frac{\partial}{\partial x} (8 x^{6} y^{4} + 9 x^{5} y^{7})

What is the limit as x approaches 8 of x/(x-8) ?
The limit as x approaches 8 of x/(x-8) is diverges