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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to \infty lim (- 1^{+ x})

x \to 0 lim ([x - 2] [x + 3])

x \to 1 lim (- (x^{2} - 4 x + 8))

x \to 3 + lim (3 x - 3)

x \to 1 lim (9 - x^{2})

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