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

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

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

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

diverges

Solution steps

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

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

= diverges

(3, - 3), (5, - 6)

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} ln (x)

x \to 3 lim (3 x^{3} - 5 x^{2} + x - 8)

\frac{d y}{d x} = \frac{( x y ) ^{2}}{8} + y^{2}

\int \frac{1}{x ^{2} + 6 x + 5} d x

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