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

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

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

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

diverges

Solution steps

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

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

= diverges

y = 4^{\frac{x}{l n ( 2 )}}, at x = ln (16)

\int \frac{1}{5 x ^{2}} d x

\int_{0}^{l n (7)} x e^{x} d x

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

sin (π - x)

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