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

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

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

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

\infty

Solution steps

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

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}{x})^{2} - 4) = \infty

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

= \infty

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