For which value of k is f(x) = kx + 3 if x ≤ π; cos x if x > π continuous at x = π?

Continuity & Differentiability · Question 47 of 125

Question 47

MediumOriginal question

For which value of $k$ is $f(x) = \begin{cases} kx + 3, & x \le \pi \\ \cos x, & x > \pi \end{cases}$ continuous at $x = \pi$ ?

- \frac{4}{\pi}

Correct answerYour answer

- \frac{\pi}{4}

Correct answerYour answer

- \frac{2}{\pi}

Correct answerYour answer

\frac{4}{\pi}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

$-\frac{2}{\pi}$ takes $\cos \pi$ as 1; it is $-1$ .

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

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