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

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

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limit as x approaches 0 of x/(sqrt(x^2))

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

diverges

Solution steps

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

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}{x ^{2}}) = 1

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

= diverges

\int \frac{a x + b}{a ^{2} x ^{2} + b ^{2}} d x

\frac{d y}{d x} + 4 y = 0

f (x) = 3 x^{2} + 2 x - 3

\int x \cdot sin (k x) d x

y^{^{''}} - 8 y^{^{'}} = 0

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