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

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

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

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

\int \frac{x + 3}{x ^{4} + 9 x ^{2}} d x

\frac{d}{d x} (sin (x) ln (6 x))

x \to 0 + lim (x^{7} ln (x))

x \to 0 + lim (x ln (x^{7}))

\int x x - 7 d x

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