What is the limit as x approaches 4 of x/(x-4) ?

The limit as x approaches 4 of x/(x-4) is diverges

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limit as x approaches 4 of x/(x-4)

x \to 4 lim (\frac{x}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{x}{x - 4})

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

then the limit does not exist

x \to 4 + lim (\frac{x}{x - 4}) = \infty

x \to 4 - lim (\frac{x}{x - 4}) = - \infty

= diverges

\int_{0}^{4} x (4 - x) d x

d y - (y - 1)^{2} = d x

f (x) = x^{2} + 9, at x = 4

h \to 0 lim (1)

\frac{d y}{d t} (0.1) t y = 6 t

What is the limit as x approaches 4 of x/(x-4) ?
The limit as x approaches 4 of x/(x-4) is diverges