What is the limit as x approaches 3 of 5/((x-3)^2) ?

The limit as x approaches 3 of 5/((x-3)^2) is infinity

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limit as x approaches 3 of 5/((x-3)^2)

x \to 3 lim (\frac{5}{( x - 3 ) ^{2}})

\infty

Solution steps

x \to 3 lim (\frac{5}{( x - 3 ) ^{2}})

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

then

x \to a lim f (x) = L

x \to 3 - lim (\frac{5}{( x - 3 ) ^{2}}) = \infty

x \to 3 + lim (\frac{5}{( x - 3 ) ^{2}}) = \infty

= \infty

x \to 2 lim (3 x^{2} - 5 x + 2)

e^{y} d x - e^{- x} d y = 0, y (0) = 0

d er i v a t i v e f (x) = \frac{x + 6}{e ^{x}}

\frac{d}{d x} (x cos (y) - y cos (x))

t an g e n t y = 6 + 4 x^{2} - 2 x^{3}, at x = a

What is the limit as x approaches 3 of 5/((x-3)^2) ?
The limit as x approaches 3 of 5/((x-3)^2) is infinity