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

The limit as x approaches 0 of (5x+3)/x is diverges

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

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

diverges

Solution steps

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

x \to 0 - lim (\frac{5 x + 3}{x}) = - \infty

= diverges

x \to 4 + lim ((4 - x) \cdot ln (x - 4))

x \to 1 lim (1 - x + ln (x))

y \to 0 lim (\frac{sin ( 3 y )}{2 y})

x \to \infty - lim (ln (x))

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

What is the limit as x approaches 0 of (5x+3)/x ?
The limit as x approaches 0 of (5x+3)/x is diverges