What is the limit as x approaches 10 of (x^2-99)/(x-10) ?

The limit as x approaches 10 of (x^2-99)/(x-10) is diverges

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limit as x approaches 10 of (x^2-99)/(x-10)

x \to 10 lim (\frac{x ^{2} - 99}{x - 10})

diverges

Solution steps

x \to 10 lim (\frac{x ^{2} - 99}{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{x ^{2} - 99}{x - 10}) = \infty

x \to 10 - lim (\frac{x ^{2} - 99}{x - 10}) = - \infty

= diverges

What is the limit as x approaches 10 of (x^2-99)/(x-10) ?
The limit as x approaches 10 of (x^2-99)/(x-10) is diverges