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

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

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

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

\infty

Solution steps

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

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

= \infty

x \to 3 lim (\frac{x}{x ^{2} - 4 x + 3})

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

x \to 0 lim (\frac{3 x - 1}{x})

x \to 0 lim (400 x + 104000)

x \to - 4 lim ((1 + x)^{2})

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