Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

The 8th term of the Maclaurin series of ex is:
Options
A x⁸/8!
Correct Answer
B x⁸/(8 + 1)!
C x⁸/n
D xⁿ/n
Correct Answer

Option A is the correct answer.

Detailed Explanation

The Maclaurin series for ex is given by the formula Σ (xⁿ/n!) for n=0 to ∞. The nth term in this series (referring to the term with xⁿ) is xⁿ/n!. Therefore, the term with x⁸ is x⁸/8!.

Hint

Recall the general form of the Maclaurin series for ex, which is Σ (xⁿ/n!).

Question Info