What is the limit as x approaches 2 of (x^2+1)/(x-2) ?

The limit as x approaches 2 of (x^2+1)/(x-2) is diverges

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limit as x approaches 2 of (x^2+1)/(x-2)

x \to 2 lim (\frac{x ^{2} + 1}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x ^{2} + 1}{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 ^{2} + 1}{x - 2}) = \infty

x \to 2 - lim (\frac{x ^{2} + 1}{x - 2}) = - \infty

= diverges

\frac{\partial}{\partial x} (x - \frac{2 y + 6 x}{13})

y = ln (\frac{x}{1 + x ^{2}})

\frac{4}{10} x^{2} d y - 13 d x = 0

\frac{3}{( s - 2 ) ^{2}}

\frac{\partial}{\partial x} (arctan (7 x t))

What is the limit as x approaches 2 of (x^2+1)/(x-2) ?
The limit as x approaches 2 of (x^2+1)/(x-2) is diverges