lim x-->-1- f(x) = ?

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lim x-->-1- f(x) = ?

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Answer 1 · 2017-01-14T21:57:36

The answer to all a,b,c,d, is $1$ .

Explanation:

All we care about is what happens at, or near

$x =-1$

$f$ is constant (its value doesn't change) near $x = -1$
No matter if we approach $-1$ from the left or the right, $f$ remains constant at $f(x) = 1$

Since $f$ is also defined at that point, it holds that both one-sided limits (questions a,b) exist, are real numbers, and equal to $1$ , so the general limit (two sided limit, question c) also exists and is $1$ . Finally, judging from the graph, $f(-1)$ is clearly defined, and equal to $1$ (question d).

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lim x-->-1- f(x) = ?

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