What is the limit as x approaches 2 of (5x+2)/(x-2) ?

The limit as x approaches 2 of (5x+2)/(x-2) is diverges

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limit as x approaches 2 of (5x+2)/(x-2)

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

diverges

Solution steps

x \to 2 lim (\frac{5 x + 2}{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{5 x + 2}{x - 2}) = \infty

x \to 2 - lim (\frac{5 x + 2}{x - 2}) = - \infty

= diverges

\frac{d}{d x} (e^{j x})

y^{^{'}} = y^{2} - 9

\frac{1}{x ^{2} + 1}

\int cos (x) (8 + 4 sin^{2} (x)) d x

y = cos (x^{3})

What is the limit as x approaches 2 of (5x+2)/(x-2) ?
The limit as x approaches 2 of (5x+2)/(x-2) is diverges