For f(x) = x^2 - 1 if x ≤ 2; 7 - x if x > 2, what is the right-hand limit at x = 2?

Continuity & Differentiability · Question 14 of 125

Question 14

MediumOriginal question

For $f(x) = \begin{cases} x^{2} - 1, & x \le 2 \\ 7 - x, & x > 2 \end{cases}$ , what is the right-hand limit at $x = 2$ ?

3

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4

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5

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7

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CorrectNot quiteAnswer C

Correct answer: C

Worth noting

3 is $f(2)$ , from the left piece; the right-hand limit uses $7 - x$ .

Ten questions from Continuity & Differentiability, at your own pace.

Ten questions from Continuity & Differentiability, at your own pace.