What is the limit as x approaches 0 of 3x+2+1/(x^2) ?

The limit as x approaches 0 of 3x+2+1/(x^2) is infinity

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limit as x approaches 0 of 3x+2+1/(x^2)

x \to 0 lim (3 x + 2 + \frac{1}{x ^{2}})

\infty

Solution steps

x \to 0 lim (3 x + 2 + \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 (3 x + 2 + \frac{1}{x ^{2}}) = \infty

x \to 0 + lim (3 x + 2 + \frac{1}{x ^{2}}) = \infty

= \infty

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

x \to 2 lim (- \frac{x}{3 sin ( x - 2 )})

n \to \infty lim (n^{3})

x \to - 3 lim (6)

x \to 3 lim (sin (x))

What is the limit as x approaches 0 of 3x+2+1/(x^2) ?
The limit as x approaches 0 of 3x+2+1/(x^2) is infinity