What is the limit as x approaches-2 of (x-3)/(x-2) ?

The limit as x approaches-2 of (x-3)/(x-2) is 5/4

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limit as x approaches-2 of (x-3)/(x-2)

x \to - 2 lim (\frac{x - 3}{x - 2})

\frac{5}{4}

Decimal

1.25

Solution steps

x \to - 2 lim (\frac{x - 3}{x - 2})

Plug in the value

x = - 2

= \frac{- 2 - 3}{- 2 - 2}

Simplify

= \frac{5}{4}

x \to 1 - lim (\frac{sin ( x )}{x})

x \to 0 lim (\frac{x}{a} \cdot [\frac{b}{x}])

x \to - 1 + lim (\frac{4 - x}{x + 1})

x \to 0 lim (ln (3^{x}))

x \to 2 lim (\frac{x - 4}{2 - x})

What is the limit as x approaches-2 of (x-3)/(x-2) ?
The limit as x approaches-2 of (x-3)/(x-2) is 5/4