Explore topic-wise MCQs in Engineering Mathematics.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

A_FUNCTION_F(X)_WHICH_IS_CONTINUOUS_AND_DIFFERENTIABLE_OVER_THE_REAL_DOMAIN_EXISTS_SUCH_THAT_F(N)_(X)_=_[_F(N_+_1)_(X)_]2_,_F(0)_=_A_AND_F(X)?$

A. True
B. False
Answer» B. False
Discussion
2.

Let Mclaurin series of some f(x) be given recursively, where an denotes the coefficient of xnin the expansion. Also given an = an-1 / n and a0 = 1, which of th?
A. e<sup>3x</sup>
B. e<sup>x</sup>
C. e<sup>2x</sup>
D. c + e<sup>x</sup>
Answer» B. e<sup>x</sup>
Discussion
3.

Let τ(f(x)) denote the Taylor series for some function f(x). Then the value of τ(τ(τ(f(1729)))) – 2τ(τ(f(1729))) + τ(f(1729)) is$

A. 1729
B. -1
C. 1
D. 0
Answer» E.
Discussion
4.

Let τ(X) be the Taylor Series expansion of f(x) = x3 + x2 + 1019 centered at$

A. )<sup>2</sup> + τ(1729) * f(1729) – 3(f(1729))<sup>2</sup> + 1770
B. 1770
C. 1729
D. 0
Answer» B. 1770
Discussion
5.

What is the coefficient of x101729 in the series expansion of cos(sin(x))
A. 0
B. <sup>1</sup>‚ÅÑ<sub>101729!</sub>
C. <sup>-1</sup>‚ÅÑ<sub>101729!</sub>
D. 1
Answer» B. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>101729!</sub>
Discussion