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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 9 lim (f (x))

\frac{d}{d x} (10 x + 7 x)

f (x) = (4 x + 1)^{2}

\frac{d}{d x} (2 x^{4} - 5 x^{3} + x^{2})

\int_{- 1}^{2} 3 x^{2} + 4 x d x

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