What is the limit as x approaches 0 of 1+1/(4x^2) ?

The limit as x approaches 0 of 1+1/(4x^2) is infinity

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limit as x approaches 0 of 1+1/(4x^2)

x \to 0 lim (1 + \frac{1}{4 x ^{2}})

\infty

Solution steps

x \to 0 lim (1 + \frac{1}{4 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}{4 x ^{2}}) = \infty

x \to 0 + lim (1 + \frac{1}{4 x ^{2}}) = \infty

= \infty

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What is the limit as x approaches 0 of 1+1/(4x^2) ?
The limit as x approaches 0 of 1+1/(4x^2) is infinity