What is the limit as x approaches 0 of (x^2-x+1)/x ?

The limit as x approaches 0 of (x^2-x+1)/x is diverges

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limit as x approaches 0 of (x^2-x+1)/x

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

diverges

Solution steps

x \to 0 lim (\frac{x ^{2} - x + 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 (\frac{x ^{2} - x + 1}{x}) = \infty

x \to 0 - lim (\frac{x ^{2} - x + 1}{x}) = - \infty

= diverges

y^{^{'}} + 6 y = 2 t + 3

\frac{s + 4}{( s + 2 ) ^{2}}

\frac{d y}{d x} = - \frac{x}{y e ^{x^{2}}}

y = x^{2} - 1.52, y = - x^{2} + 1.52

\frac{d}{d x} (cos (x y^{2}))

What is the limit as x approaches 0 of (x^2-x+1)/x ?
The limit as x approaches 0 of (x^2-x+1)/x is diverges