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Continuity & Differentiability · Question 8 of 125

What is the right-hand limit of this three-piece f at x = 1?

Question 8

EasyOriginal question

$f(x) = x + 1$ for $x < 1$ , $f(1) = 2$ , and $f(x) = 3x - 1$ for $x > 1$ .

What is the right-hand limit of this three-piece $f$ at $x = 1$ ?

1

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2

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3

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4

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Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

For $x > 1$ , $f(x) = 3x - 1$ .
As $x \to 1^{+}$ , $3x - 1 \to 2$ .

Worth noting

3 drops the $-1$ of $3x - 1$ .

Concept: A one-sided limit
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsContinuity at a point

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