What is the limit as x approaches 13 of 1/(x-13) ?

The limit as x approaches 13 of 1/(x-13) is diverges

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limit as x approaches 13 of 1/(x-13)

x \to 13 lim (\frac{1}{x - 13})

diverges

Solution steps

x \to 13 lim (\frac{1}{x - 13})

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

then the limit does not exist

x \to 13 + lim (\frac{1}{x - 13}) = \infty

x \to 13 - lim (\frac{1}{x - 13}) = - \infty

= diverges

x \to π lim (9 sin (x))

x \to - \infty lim (- 2 \cdot (x))

x \to - 4 + lim (x^{2} - 16)

x \to - 3 lim (x^{3} - 2 x + 11)

x \to 0 lim (\frac{x}{3 x ^{2} + 1})

What is the limit as x approaches 13 of 1/(x-13) ?
The limit as x approaches 13 of 1/(x-13) is diverges