What is the limit as x approaches 9 of 1/((x-9)^2) ?

The limit as x approaches 9 of 1/((x-9)^2) is infinity

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limit as x approaches 9 of 1/((x-9)^2)

x \to 9 lim (\frac{1}{( x - 9 ) ^{2}})

\infty

Solution steps

x \to 9 lim (\frac{1}{( x - 9 ) ^{2}})

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

then

x \to a lim f (x) = L

x \to 9 - lim (\frac{1}{( x - 9 ) ^{2}}) = \infty

x \to 9 + lim (\frac{1}{( x - 9 ) ^{2}}) = \infty

= \infty

\frac{\partial}{\partial x} (1 - x^{2} + y^{2})

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

y = e^{x}, y = e^{- 3 x}, x = ln (4)

7 - 2 x

x \to - 1 lim ((x + 3 x^{4})^{3})

What is the limit as x approaches 9 of 1/((x-9)^2) ?
The limit as x approaches 9 of 1/((x-9)^2) is infinity