Question

Find the indicated limit, if it exists.

Answer 1

2

Explanation:

`Lim_(x\to 8) f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}`

`Lim_(x\to 8) f(x) = Lim_(x\to 8) 10 - x \\ \\ = 10 - 8 \\ \\ = 2`