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

The limit as x approaches 0 of (1+3x) 1/x is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

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

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