What is the limit as x approaches 5 of (x^2-3x-10)/(x^2-10x+25) ?

The limit as x approaches 5 of (x^2-3x-10)/(x^2-10x+25) is diverges

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limit as x approaches 5 of (x^2-3x-10)/(x^2-10x+25)

x \to 5 lim (\frac{x ^{2} - 3 x - 10}{x ^{2} - 10 x + 25})

diverges

Solution steps

x \to 5 lim (\frac{x ^{2} - 3 x - 10}{x ^{2} - 10 x + 25})

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

then the limit does not exist

x \to 5 + lim (\frac{x ^{2} - 3 x - 10}{x ^{2} - 10 x + 25}) = \infty

x \to 5 - lim (\frac{x ^{2} - 3 x - 10}{x ^{2} - 10 x + 25}) = - \infty

= diverges

What is the limit as x approaches 5 of (x^2-3x-10)/(x^2-10x+25) ?
The limit as x approaches 5 of (x^2-3x-10)/(x^2-10x+25) is diverges