f(x) = (tan 4x)/(sin 2x) for x ≠ 0, and f(0) = k. For which k is f continuous at x = 0?

Continuity & Differentiability · Question 44 of 125

Question 44

MediumOriginal question

$f(x) = \frac{\tan 4x}{\sin 2x}$ for $x \ne 0$ , and $f(0) = k$ . For which $k$ is $f$ continuous at $x = 0$ ?

\frac{1}{2}

Correct answerYour answer

1

Correct answerYour answer

2

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4

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CorrectNot quiteAnswer C

Correct answer: C

Worth noting

1 cancels $\tan$ against $\sin$ and ignores the 4 and the 2.

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

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