What is the limit as x approaches 3-of |(x-3)/(x-3)| ?

The limit as x approaches 3-of |(x-3)/(x-3)| is 1

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limit as x approaches 3-of |(x-3)/(x-3)|

x \to 3 - lim (\frac{x - 3}{x - 3})

1

Solution steps

x \to 3 - lim (\frac{x - 3}{x - 3})

\frac{x - 3}{x - 3}

is positive when

x \to 3 -

. Therefore

\frac{x - 3}{x - 3} = \frac{x - 3}{x - 3}

= x \to 3 - lim (\frac{x - 3}{x - 3})

Simplify

= x \to 3 - lim (1)

x \to a lim c = c

= 1

\int \frac{3}{x ^{2} - 8 x + 25} d x

\int_{0}^{80} \frac{317}{903 \cdot 10}

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

\int \frac{2}{x ( x ^{2} + 4 ) ^{2}} d x

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

What is the limit as x approaches 3-of |(x-3)/(x-3)| ?
The limit as x approaches 3-of |(x-3)/(x-3)| is 1