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

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

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

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

- 1

Solution steps

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

Apply exponent rule:

a^{2} = ∣ a ∣

= x \to 0 - lim (\frac{∣ x ∣}{x})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

Simplify

= x \to 0 - lim (- 1)

x \to a lim c = c

= - 1

\int e^{5 x} d x

\int \frac{x ^{2}}{x + 1} d x

x y^{^{'}} + y = - 7 x y^{2}

\int (x^{2} - 1) 2 x + 1 d x

f (x) = x^{4} e^{x}

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