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

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

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

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

\infty

Solution steps

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

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

= \infty

x \to 0 - lim (x ∣ x ∣)

x \to - \infty lim (- ∣ x ∣)

x \to - 2 lim (\frac{g ( x )}{x + 2})

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

x \to \frac{1}{4} lim (lo g_{2} (2 x))

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