Generating...                               quiz05_n25

Let

$\displaystyle f(x) = \begin{cases} -x-1 & \mbox{ if } x \le -1 ; \\ -{{3}\o... ...}} & \mbox{ if } -1 < x < 0 ; \\ 2\,x^2+1 & \mbox{ if } x \ge 0 \end{cases}$

Then answer the following questions.

You have 10 minutes. Click the button at the bottom.

  1. Find $\displaystyle\lim_{x\to -1 +} f(x)$.

    $-\infty$
    Does not exist.
    −3
    3
    $\infty$

  2. $f(x)$ is

    continuous from the left at $x = 0$ .
    continuous from neither the left nor the right at $x = 0$ .
    continuous from the right at $x = 0$ .

  3. Find $\displaystyle\lim_{x\to -1 -} f(x)$.

    0
    0
    $-\infty$
    Does not exist.
    $\infty$

  4. $f(x)$ is

    continuous at x = −1 .
    discontinuous at x = −1 .

  5. Find $\displaystyle\lim_{x\to 0-} f(x)$.

    Does not exist.
    −1
    $\displaystyle \infty $
    1
    $\displaystyle -\infty $


Department of Mathematics
Last modified: 2025-07-09