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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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\frac{d y}{d x} = e^{5 x} + 8 y

y^{3} - (2 x + 4) + 3 x y^{2} y^{^{'}} = 0

7 cos (2 x), 7 sin (4 x), x = 0, x = \frac{π}{4}

2 x^{3} + 3 x^{2} - 12 x + 2

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