What is the limit as x approaches 3 of 1/((3-x)^2) ?

The limit as x approaches 3 of 1/((3-x)^2) is infinity

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limit as x approaches 3 of 1/((3-x)^2)

x \to 3 lim (\frac{1}{( 3 - x ) ^{2}})

\infty

Solution steps

x \to 3 lim (\frac{1}{( 3 - x ) ^{2}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 3 - lim (\frac{1}{( 3 - x ) ^{2}}) = \infty

x \to 3 + lim (\frac{1}{( 3 - x ) ^{2}}) = \infty

= \infty

t^{2} y^{^{'}} + t y = 3, y (1) = 4

\int_{0}^{1} x^{3} - x^{2} d x

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

\frac{( t - t )}{t ^{\frac{1}{3}}}

\int 1 0^{- x} d x

What is the limit as x approaches 3 of 1/((3-x)^2) ?
The limit as x approaches 3 of 1/((3-x)^2) is infinity