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Continuity & Differentiability · Question 6 of 125

Question 6

EasyOriginal question

For f(x)=[x]f(x) = [x], what is the left-hand limit at x=2x = 2?

Options for question 6

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Use the values of ff for xx just below 2.

  2. They tend to 11.

Worth noting

2 is the value at 2 and the right-hand limit; just below 2, [x]=1[x] = 1.

Concept
A one-sided limit
Typical time
60 s
Your time
—
The rule this testsContinuity at a point
Practise this chapter →

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

Practise this chapter →

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