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

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

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

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

\infty

Solution steps

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

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

= \infty

\int \frac{x - 1}{x + 1} d x

(- \frac{2 x}{( x ^{2} + 1 ) ^{2}})^{^{'}}

f (x) = \frac{64 x}{x ^{2} + 64}, at x = - 4

x \to 0 + lim (sin (x) n x)

\frac{d}{d x} ((2 x)^{4 x})

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