Allied & ICAR Exam Bank • ALLIED_0777 MCQ • 1 Mark

Section 1: Engineering Mathematics

Calculus

Subtopic: Taylor series

Question Statement:

The Maclaurin series expansion of $f(x) = \cos(x)$ up to terms containing $x^4$ is:

Options:

  • (A) $1 - \frac{x^2}{2!} + \frac{x^4}{4!}$
  • (B) $x - \frac{x^3}{3!} + \frac{x^5}{5!}$
  • (C) $1 + \frac{x^2}{2!} + \frac{x^4}{4!}$
  • (D) $1 - x + \frac{x^2}{2}$

Answer Key:

A

Step-by-Step Solution & Explanation

Maclaurin series for cosine is $\cos x = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!} = 1 - \frac{x^2}{2} + \frac{x^4}{24} - \dots$
← Previous (ALLIED_0776) Next (ALLIED_0778) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test