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

The limit as x approaches 3 of (x-3)/(x-2) is 0

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

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

0

Solution steps

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

Plug in the value

x = 3

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

Simplify

\frac{3 - 3}{3 - 2} : 0

= 0

y = 7 x - x^{2}, (1, 6)

\int_{1}^{2} x^{4} + 2 x^{2} d x

\int_{0}^{1} 5 e^{x} - 5 x e^{x^{2}} d x

\int \frac{16}{( x ^{2} + 4 ) ^{2}} d x

y = - 3 x - 9, (- 9, 18)

What is the limit as x approaches 3 of (x-3)/(x-2) ?
The limit as x approaches 3 of (x-3)/(x-2) is 0