What is the limit as x approaches 3/7 of (|3-7x|)/(21x^2-9x) ?

The limit as x approaches 3/7 of (|3-7x|)/(21x^2-9x) is diverges

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limit as x approaches 3/7 of (|3-7x|)/(21x^2-9x)

x \to \frac{3}{7} lim (\frac{∣ 3 - 7 x ∣}{21 x ^{2} - 9 x})

diverges

Solution steps

x \to \frac{3}{7} lim (\frac{∣ 3 - 7 x ∣}{21 x ^{2} - 9 x})

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

then the limit does not exist

x \to \frac{3}{7} + lim (\frac{∣ 3 - 7 x ∣}{21 x ^{2} - 9 x}) = \frac{7}{9}

x \to \frac{3}{7} - lim (\frac{∣ 3 - 7 x ∣}{21 x ^{2} - 9 x}) = - \frac{7}{9}

= diverges

x \to - 3 - lim (\frac{2 x}{x + 3})

y = sin^{2} (x), y = sin^{3} (x), [0, π]

n = 0 \sum \infty (x + 1)^{n}

\frac{d}{d x} (2 x y^{4} - 3)

What is the limit as x approaches 3/7 of (|3-7x|)/(21x^2-9x) ?
The limit as x approaches 3/7 of (|3-7x|)/(21x^2-9x) is diverges