What is the limit as x approaches 0 of (3x+7)/x ?

The limit as x approaches 0 of (3x+7)/x is diverges

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limit as x approaches 0 of (3x+7)/x

x \to 0 lim (\frac{3 x + 7}{x})

diverges

Solution steps

x \to 0 lim (\frac{3 x + 7}{x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{3 x + 7}{x}) = \infty

x \to 0 - lim (\frac{3 x + 7}{x}) = - \infty

= diverges

x \to \infty lim (- ∣ x ∣)

x \to π lim (2 cos (x) + e^{x})

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

x \to \infty lim (x^{2} + 3 x)

x \to - \infty lim (2 x + 5)

What is the limit as x approaches 0 of (3x+7)/x ?
The limit as x approaches 0 of (3x+7)/x is diverges