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

\int 4 sin^{4} (x co) s^{2} x d x

y = sec (tan (x)) tan (sec (x))

y^{2} = x, x + y = 2

\int \frac{5 x ^{2} + x + 5}{( x ^{2} + 1 ) ^{2}} d x

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