What is the limit as x approaches 15 of 1/(x-15) ?

The limit as x approaches 15 of 1/(x-15) is diverges

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limit as x approaches 15 of 1/(x-15)

x \to 15 lim (\frac{1}{x - 15})

diverges

Solution steps

x \to 15 lim (\frac{1}{x - 15})

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

then the limit does not exist

x \to 15 + lim (\frac{1}{x - 15}) = \infty

x \to 15 - lim (\frac{1}{x - 15}) = - \infty

= diverges

x \to 0 lim (\frac{sin ^{2} ( 3 x )}{sin ^{2} ( 5 x )})

x \to 0 lim (x^{4} + 3 x^{3} - x)

x \to 0 + lim (x \cdot sin (ln (x)))

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

x \to 1 lim (\frac{x ^{x} - 1}{x \cdot ln ( x )})

What is the limit as x approaches 15 of 1/(x-15) ?
The limit as x approaches 15 of 1/(x-15) is diverges