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

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

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

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

diverges

Solution steps

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

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

= diverges

\frac{d y}{d x} - y = 1

\int 3 cos (x) + e^{- x} + 4 d x

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

8 x^{4} + 7 sin (x)

5 cos (3 x), 5 - 5 cos (3 x), 0, \frac{π}{3}

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