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

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

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

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

diverges

Solution steps

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

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}{2 - x}) = - \infty

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

= diverges

x \to - 3 + lim (\frac{2}{x + 3})

x \to - 3 + lim (x^{2} - 4)

x \to 0 lim (\frac{2}{3})

x \to 0 lim (\frac{ln ( e ^{x} + x )}{x})

x \to 0 - lim ((1 + \frac{1}{x})^{x})

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