What is the limit as x approaches 0 of (x^2-6x+9)/(x^2) ?

The limit as x approaches 0 of (x^2-6x+9)/(x^2) is infinity

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limit as x approaches 0 of (x^2-6x+9)/(x^2)

x \to 0 lim (\frac{x ^{2} - 6 x + 9}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{x ^{2} - 6 x + 9}{x ^{2}})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x ^{2} - 6 x + 9}{x ^{2}}) = \infty

x \to 0 + lim (\frac{x ^{2} - 6 x + 9}{x ^{2}}) = \infty

= \infty

\frac{d}{d x} (x^{3} - 12 x^{2} + 36 x)

9 (5 x^{4} ln (7 x) + x^{4})

\int \frac{9 - x ^{2}}{x ^{4}} d x

\frac{d}{d x} (lo g_{2} (x^{3}))

100 - x^{2}

What is the limit as x approaches 0 of (x^2-6x+9)/(x^2) ?
The limit as x approaches 0 of (x^2-6x+9)/(x^2) is infinity