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

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

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

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

\infty

Solution steps

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

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

= \infty

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e^{- 4 x}, y (0) = - 2, y^{^{'}} (0) = 1

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

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

(x^{3} + 5) e x

\int \frac{x ^{4}}{x + 4} d x

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