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

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