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})

x - 3

is positive when

x \to 3 +

. Therefore

∣ 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{1}{1 - sin ( x )} d x

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

\frac{1}{u ^{2}}

\frac{( 6 + 7 x )}{( x ^{4} + 5 x - 5 )}

k = 2 \sum \infty \frac{8}{4 ^{2 k}}

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