What is the limit as x approaches 4 of (x^2-4)/(x-4) ?

The limit as x approaches 4 of (x^2-4)/(x-4) is diverges

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limit as x approaches 4 of (x^2-4)/(x-4)

x \to 4 lim (\frac{x ^{2} - 4}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{x ^{2} - 4}{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 ^{2} - 4}{x - 4}) = \infty

x \to 4 - lim (\frac{x ^{2} - 4}{x - 4}) = - \infty

= diverges

\frac{\partial}{\partial y} (\frac{x}{y} - \frac{y}{z})

\frac{d}{d x} (e^{- 2 x} sin (3 x))

x \to - 1 lim (2 x^{2} - 5 x + 1)

x^{\frac{7}{3}}

\frac{d}{d x} (- x + 6)

What is the limit as x approaches 4 of (x^2-4)/(x-4) ?
The limit as x approaches 4 of (x^2-4)/(x-4) is diverges