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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (x^{7} cos (\frac{2}{x}))

x \to 0 + lim ([sin (x) ln (x)])

x \to 7 lim ((2 x - 2)^{2})

x \to 0 lim (\frac{8 x ^{2} + 5 x}{x})

x \to 0 lim ((3 x)^{s i n (x)})

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