What is the limit as x approaches 6 of (1/(x-6))^2 ?

The limit as x approaches 6 of (1/(x-6))^2 is infinity

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limit as x approaches 6 of (1/(x-6))^2

x \to 6 lim ((\frac{1}{x - 6})^{2})

\infty

Solution steps

x \to 6 lim ((\frac{1}{x - 6})^{2})

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

then

x \to a lim f (x) = L

x \to 6 - lim ((\frac{1}{x - 6})^{2}) = \infty

x \to 6 + lim ((\frac{1}{x - 6})^{2}) = \infty

= \infty

\frac{d}{d x} (x 3)

y = \frac{25 - x ^{2}}{4 x}

x y^{2} + 3 y^{2} - x^{2} \cdot \frac{d y}{d x} = 0

y^{^{'}} - y = t e^{3 t}

\int \frac{1}{x + 1} d x

What is the limit as x approaches 6 of (1/(x-6))^2 ?
The limit as x approaches 6 of (1/(x-6))^2 is infinity