What is the limit as x approaches 3 of-(x-4)/(x-3) ?

The limit as x approaches 3 of-(x-4)/(x-3) is infinity

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limit as x approaches 3 of-(x-4)/(x-3)

x \to 3 lim (- \frac{x - 4}{x - 3})

\infty

Solution steps

x \to 3 lim (- \frac{x - 4}{x - 3})

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

then

x \to a lim f (x) = L

x \to 3 - lim (- \frac{x - 4}{x - 3}) = \infty

x \to 3 + lim (- \frac{x - 4}{x - 3}) = \infty

= \infty

What is the limit as x approaches 3 of-(x-4)/(x-3) ?
The limit as x approaches 3 of-(x-4)/(x-3) is infinity