What is the limit as x approaches 0 of (1+x)/(x^2) ?

The limit as x approaches 0 of (1+x)/(x^2) is infinity

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limit as x approaches 0 of (1+x)/(x^2)

x \to 0 lim (\frac{1 + x}{x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{1 + 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{1 + x}{x ^{2}}) = \infty

x \to 0 + lim (\frac{1 + x}{x ^{2}}) = \infty

= \infty

4 (x - (\frac{1}{x})^{4})

f (x) = \frac{x}{3}

\frac{d}{d x} (arccos (cos^{2} (x)))

\frac{d}{d x} (12 sin (x))

f (x) = - 4 x^{2} - 2 x + 3, at x = - 3

What is the limit as x approaches 0 of (1+x)/(x^2) ?
The limit as x approaches 0 of (1+x)/(x^2) is infinity