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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 + lim (x^{π x})

x \to 0 lim ((1 + 3 x)^{\frac{3}{x}})

x \to 4 lim (x^{2} + 5 x - 35)

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

x \to 0 + lim (x ln (tan (x)))

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