What is the limit as x approaches 2 of 1/((x-2)2) ?

The limit as x approaches 2 of 1/((x-2)2) is diverges

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limit as x approaches 2 of 1/((x-2)2)

x \to 2 lim (\frac{1}{( x - 2 ) 2})

diverges

Solution steps

x \to 2 lim (\frac{1}{( x - 2 ) \cdot 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{1}{( x - 2 ) \cdot 2}) = \infty

x \to 2 - lim (\frac{1}{( x - 2 ) \cdot 2}) = - \infty

= diverges

x \to 0 + lim ((x - 3) x)

t \to 0 lim (\frac{4 ^{t} - 3 ^{t}}{t})

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

x \to \infty lim (\frac{5 x ^{4} + 2 x}{x ^{2}})

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

What is the limit as x approaches 2 of 1/((x-2)2) ?
The limit as x approaches 2 of 1/((x-2)2) is diverges