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 positive 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

\frac{( t - t )}{t ^{\frac{1}{3}}}

\int 1 0^{- x} d x

sin (t) cos (2 t)

8 sec (x) - 7 x

\frac{d}{d x} (x^{3} 3 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