What is the limit as x approaches 9+of (x-9)/(|x-9|) ?

The limit as x approaches 9+of (x-9)/(|x-9|) is 1

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limit as x approaches 9+of (x-9)/(|x-9|)

x \to 9 + lim (\frac{x - 9}{∣ x - 9 ∣})

1

Solution steps

x \to 9 + lim (\frac{x - 9}{∣ x - 9 ∣})

x - 9

is positive when

x \to 9 +

. Therefore

∣ x - 9 ∣ = x - 9

= x \to 9 + lim (\frac{x - 9}{x - 9})

Simplify

= x \to 9 + lim (1)

x \to a lim c = c

= 1

y^{^{''}} + 6 y^{^{'}} + 9 y = 12 e^{- x}

\frac{d}{d x} (cos (\frac{1 - e ^{8 x}}{1 + e ^{8 x}}))

\int \frac{z}{1 0 ^{z}} d z

\frac{d}{d x} (\frac{x ^{s i n (x)}}{cos ( x )})

x \to 2 + lim (\frac{x - 2}{∣ x - 2 ∣})

What is the limit as x approaches 9+of (x-9)/(|x-9|) ?
The limit as x approaches 9+of (x-9)/(|x-9|) is 1