What is the limit as x approaches 4 of (x-5)/((x-4)^2) ?

The limit as x approaches 4 of (x-5)/((x-4)^2) is -infinity

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limit as x approaches 4 of (x-5)/((x-4)^2)

x \to 4 lim (\frac{x - 5}{( x - 4 ) ^{2}})

- \infty

Solution steps

x \to 4 lim (\frac{x - 5}{( 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 - 5}{( x - 4 ) ^{2}}) = - \infty

x \to 4 + lim (\frac{x - 5}{( x - 4 ) ^{2}}) = - \infty

= - \infty

What is the limit as x approaches 4 of (x-5)/((x-4)^2) ?
The limit as x approaches 4 of (x-5)/((x-4)^2) is -infinity