What is the limit as x approaches 3 of (|x+7|)/(x-3) ?

The limit as x approaches 3 of (|x+7|)/(x-3) is diverges

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limit as x approaches 3 of (|x+7|)/(x-3)

x \to 3 lim (\frac{∣ x + 7 ∣}{x - 3})

diverges

Solution steps

x \to 3 lim (\frac{∣ x + 7 ∣}{x - 3})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 3 + lim (\frac{∣ x + 7 ∣}{x - 3}) = \infty

x \to 3 - lim (\frac{∣ x + 7 ∣}{x - 3}) = - \infty

= diverges

f (t) = 3 t - t^{2}, (0, 0)

\int (x + 3)^{4} d x

\frac{d}{d x} (x^{2} sin (y))

y^{^{'}} = 100 - y

\frac{d}{d x} ((2 x + 1)^{5} (x^{4} - 3)^{6})

What is the limit as x approaches 3 of (|x+7|)/(x-3) ?
The limit as x approaches 3 of (|x+7|)/(x-3) is diverges