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

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

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

x \to 3 lim (\frac{5 - x}{x - 2})

2

Solution steps

x \to 3 lim (\frac{5 - x}{x - 2})

Plug in the value

x = 3

= \frac{5 - 3}{3 - 2}

Simplify

= 2

x \to 0 lim (x arctan (x))

x \to 3 lim ((3 x) (4 x))

x \to \frac{π}{2} lim (arctan (x))

h \to 0 lim (3 x^{2} + 3 x h + h^{2})

x \to 0 + lim (\frac{x}{ln ( x + 1 )})

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