What is the limit as x approaches 4 of (2-7x)/(4-x) ?

The limit as x approaches 4 of (2-7x)/(4-x) is diverges

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limit as x approaches 4 of (2-7x)/(4-x)

x \to 4 lim (\frac{2 - 7 x}{4 - x})

diverges

Solution steps

x \to 4 lim (\frac{2 - 7 x}{4 - x})

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

then the limit does not exist

x \to 4 + lim (\frac{2 - 7 x}{4 - x}) = \infty

x \to 4 - lim (\frac{2 - 7 x}{4 - x}) = - \infty

= diverges

x \to 0 lim (\frac{2 ^{x} - 1}{2 x})

x \to - 4 lim (\frac{5 x}{∣ x + 4 ∣})

x \to 0 lim ((- 4 ln (x))^{x})

x \to 8 - lim (2 x - 8)

x \to 7 - lim (\frac{x - 8}{x - 7})

What is the limit as x approaches 4 of (2-7x)/(4-x) ?
The limit as x approaches 4 of (2-7x)/(4-x) is diverges