What is the limit as x approaches 0 of (3x+4)/(5x^2) ?

The limit as x approaches 0 of (3x+4)/(5x^2) is infinity

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limit as x approaches 0 of (3x+4)/(5x^2)

x \to 0 lim (\frac{3 x + 4}{5 x ^{2}})

\infty

Solution steps

x \to 0 lim (\frac{3 x + 4}{5 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{3 x + 4}{5 x ^{2}}) = \infty

x \to 0 + lim (\frac{3 x + 4}{5 x ^{2}}) = \infty

= \infty

x \to 2 lim (\frac{x ^{2} + 12}{2 x})

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

x \to 0 lim (cos (11 x))

x \to 1 lim (e^{x^{2}})

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

What is the limit as x approaches 0 of (3x+4)/(5x^2) ?
The limit as x approaches 0 of (3x+4)/(5x^2) is infinity