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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 25 lim (x^{\frac{3}{2}})

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

x \to 0 - lim (\frac{1}{x ^{5}})

x \to 0 - lim (4 (\frac{1}{x} - cot (x)))

x \to - 43 lim (x^{2} - 4 x + 8)

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