The Taylor series expansion of sin(x) about x=0 starts with:

A 1 − x²/2

B x − x³/6 + x⁵/120

C x + x³/6

D 1 + x

✓ Correct Answer: Option B

sin(x) = x − x³/3! + x⁵/5! − ... = x − x³/6 + x⁵/120 − ...

💡 Why is B) the correct answer?

The correct answer to the question "The Taylor series expansion of sin(x) about x=0 starts with:" is Option B: x − x³/6 + x⁵/120.

The other options — A) 1 − x²/2, C) x + x³/6, D) 1 + x — are incorrect for this FE Exam Prep question. As explained above: sin(x) = x − x³/3! + x⁵/5! − ... = x − x³/6 + x⁵/120 − ...

📚 About This FE Exam Prep Practice Question

This 2-level FE Exam Prep question from the Mathematics topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free FE Exam Prep practice test or use flashcards for spaced repetition review.

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The Taylor series expansion of sin(x) about x=0 starts with:

✓ Correct Answer: Option B

📚 About This FE Exam Prep Practice Question

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