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Continuity & Differentiability · Question 4 of 125

Question 4

EasyOriginal question

For f(x)={x2+1,x<35x−4,x≥3f(x) = \begin{cases} x^{2} + 1, & x < 3 \\ 5x - 4, & x \ge 3 \end{cases}, what is the left-hand limit at x=3x = 3?

Options for question 4

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Use the values of ff for xx just below 3.

  2. They tend to 1010.

Worth noting

11 is the right-hand piece at 3.

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.