What is the limit as x approaches 0 of (4-x)/(x^2) ?

The limit as x approaches 0 of (4-x)/(x^2) is infinity

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limit as x approaches 0 of (4-x)/(x^2)

x \to 0 lim (\frac{4 - x}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{4 - x}{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{4 - x}{x ^{2}}) = \infty

x \to 0 + lim (\frac{4 - x}{x ^{2}}) = \infty

= \infty

d er i v a t i v e \frac{5 ^{x^{3}}}{4 x ^{2}}

\int_{0}^{1} \frac{2 x}{1 + x ^{2}} d x

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

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

\frac{\partial}{\partial x} (x y + yz + z x - 3)

What is the limit as x approaches 0 of (4-x)/(x^2) ?
The limit as x approaches 0 of (4-x)/(x^2) is infinity