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

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

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

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

1

Solution steps

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

3 - x

is positive when

x \to 3 -

. Therefore

∣ 3 - x ∣ = 3 - x

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

Simplify

= x \to 3 - lim (1)

x \to a lim c = c

= 1

\int \frac{1}{( 3 + x ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{1}{3 ( x - 1 ) ^{2}} d x

\frac{d}{d x} (\frac{1}{5 x ^{3}})

\int (x^{2} + 6 x) d x

7 cos (2 x)

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