What is the limit as x approaches 2 of (x-7)/(x-2) ?

The limit as x approaches 2 of (x-7)/(x-2) is diverges

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limit as x approaches 2 of (x-7)/(x-2)

x \to 2 lim (\frac{x - 7}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x - 7}{x - 2})

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

then the limit does not exist

x \to 2 + lim (\frac{x - 7}{x - 2}) = - \infty

x \to 2 - lim (\frac{x - 7}{x - 2}) = \infty

= diverges

x \to \infty lim (x (1 - x))

x \to 0 lim (\frac{x - 1}{ln ( x )})

x \to 0 lim (\frac{1}{1 + 3 ^{\frac{1}{x}}})

x \to π + lim (- cot (x) csc (x))

x \to \infty lim (\frac{5}{7})

What is the limit as x approaches 2 of (x-7)/(x-2) ?
The limit as x approaches 2 of (x-7)/(x-2) is diverges