What is the limit as x approaches 6 of (x^2-5)/(x-6) ?

The limit as x approaches 6 of (x^2-5)/(x-6) is diverges

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limit as x approaches 6 of (x^2-5)/(x-6)

x \to 6 lim (\frac{x ^{2} - 5}{x - 6})

diverges

Solution steps

x \to 6 lim (\frac{x ^{2} - 5}{x - 6})

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

then the limit does not exist

x \to 6 + lim (\frac{x ^{2} - 5}{x - 6}) = \infty

x \to 6 - lim (\frac{x ^{2} - 5}{x - 6}) = - \infty

= diverges

d er i v a t i v e f (x) = x^{2} 3 x + 5

d er i v a t i v e cos (a^{4} + x^{4})

n = 0 \sum \infty (- 1)^{n} \frac{( ln ( 2 ) ) ^{n}}{n !}

a re a 12 - x^{2}, x^{2} - 6, - 3, 3

x \to 0 lim (csc (x) ln (x + 1))

What is the limit as x approaches 6 of (x^2-5)/(x-6) ?
The limit as x approaches 6 of (x^2-5)/(x-6) is diverges