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

x y^{^{'}} + 2 y = - 4 sin (x)

2 x^{2} + x y + 2 y^{2} = 5, (1, 1)

\int x (x^{2} + 4)^{2} d x

\int \frac{sec ^{4} ( t )}{tan ^{2} ( t )} d t

\int \frac{tan ( ln ( 5 x + 6 ) )}{5 x + 6} d x

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