What is the limit as x approaches 10 of 1/(x-10) ?

The limit as x approaches 10 of 1/(x-10) is diverges

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limit as x approaches 10 of 1/(x-10)

x \to 10 lim (\frac{1}{x - 10})

diverges

Solution steps

x \to 10 lim (\frac{1}{x - 10})

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

then the limit does not exist

x \to 10 + lim (\frac{1}{x - 10}) = \infty

x \to 10 - lim (\frac{1}{x - 10}) = - \infty

= diverges

n = 1 \sum \infty (- \frac{3}{2})^{n}

\int_{- 1}^{0} x - 2 d x

\int \frac{1}{x ( x + 1 ) ( x - 2 )} d x

\frac{d y}{d x} = \frac{y}{x} + y^{4}

(x^{2} + 3) \frac{d y}{d x} = x y

What is the limit as x approaches 10 of 1/(x-10) ?
The limit as x approaches 10 of 1/(x-10) is diverges