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

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

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

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

diverges

Solution steps

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

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

= diverges

G (t) = \frac{1 - 5 t}{4 + t}

\frac{\partial}{\partial y} (- \frac{y}{( x ^{2} + y ^{2} )})

\int e^{2 t} d t

\int \frac{9 - x ^{2}}{2 x ^{2}} d x

(x^{2} - 2 x + 2) e^{\frac{5 x}{2}}

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