What is the limit as x approaches 4 of 1/((4-x)^2) ?

The limit as x approaches 4 of 1/((4-x)^2) is infinity

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limit as x approaches 4 of 1/((4-x)^2)

x \to 4 lim (\frac{1}{( 4 - x ) ^{2}})

\infty

Solution steps

x \to 4 lim (\frac{1}{( 4 - 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 4 - lim (\frac{1}{( 4 - x ) ^{2}}) = \infty

x \to 4 + lim (\frac{1}{( 4 - x ) ^{2}}) = \infty

= \infty

\frac{d}{d x} (a + b x cos (3 x) + c x sin (3 x))

\frac{\partial}{\partial x} (2 x y - 2 y)

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

\frac{d}{d x} (x^{2} x^{3} + a^{3})

\int \frac{3 x ^{3} + 3 x + 2}{x ^{3} + x} d x

What is the limit as x approaches 4 of 1/((4-x)^2) ?
The limit as x approaches 4 of 1/((4-x)^2) is infinity