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

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

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

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

diverges

Solution steps

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

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}{5 - x}) = - \infty

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

= diverges

x \to 0 + lim (x^{12 x})

x \to π lim (tan (\frac{3 x}{4}))

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

x \to \infty lim (\frac{6}{0})

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

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