For which value of k is f(x) = ksin x if x ≤ π/2; cos x + 1 if x > π/2 continuous at x = π/2?

Continuity & Differentiability · Question 42 of 125

Question 42

MediumOriginal question

For which value of $k$ is $f(x) = \begin{cases} k\sin x, & x \le \frac{\pi}{2} \\ \cos x + 1, & x > \frac{\pi}{2} \end{cases}$ continuous at $x = \frac{\pi}{2}$ ?

-1

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0

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1

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2

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Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

0 takes $\cos \frac{\pi}{2} + 1$ as 0, forgetting the $+1$ .

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

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