Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
Take CBT

Question

The nth term of the Maclaurin series expansion of sin(x) is
Options
A (-1)ⁿn!/x^(n+1)
B (-1)ⁿx^(2n)/(2n)!
C (-1)ⁿx^(2n+1)/(2n+1)!
Correct Answer
D (-1)ⁿx^(2n+1)/(2n+1)
Correct Answer

Option C is the correct answer.

Detailed Explanation

The Maclaurin series for sin x is x-x³/3!+x⁵/5!-..., whose general term is (-1)ⁿx^(2n+1)/(2n+1)!.

Hint

Recall the standard Maclaurin expansion of sin x and identify the pattern of its terms.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 869 of 930
Previous Course Details Next