Explore topic-wise MCQs in Mathematics.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the value of the limit \(\lim\limits_{x \rightarrow 0}\frac{sin^2⁡x}{x^2}\)?

A. 2
B. 1
C. Limit does not exist
D. 4
Answer» C. Limit does not exist
Discussion
2.

What is the value of the \(\lim\limits_{x \rightarrow \frac{3\pi}{2}}\frac{cos⁡ x sin⁡ x}{sin⁡2x}\)?

A. \(\frac{-1}{2}\)
B. \(\frac{1}{2}\)
C. \(\frac{1}{4}\)
D. \(\frac{-1}{4}\)
Answer» C. \(\frac{1}{4}\)
Discussion
3.

What is the value of the limit f(x) = \(\frac{sin^2⁡x+\sqrt 2 sin ⁡x}{x^2-4x}\) if x approaches 0?

A. \(\frac{1}{\sqrt 2}\)
B. \(\frac{-1}{\sqrt 2}\)
C. \(\frac{-1}{2\sqrt 2}\)
D. \(\frac{1}{2\sqrt 2}\)
Answer» D. \(\frac{1}{2\sqrt 2}\)
Discussion
4.

What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x \,tanx}{cot\, x}\)?

A. 0
B. 1
C. 2
D. \(\frac{1}{2}\)
Answer» B. 1
Discussion
5.

What is the value of \(\lim\limits_{x \rightarrow 0}\frac{x^2sec x}{sin⁡ x}\)?

A. 3
B. 2
C. 1
D. 0
Answer» E.
Discussion
6.

What is the value of \(\lim\limits_{y \rightarrow \pi/2}\frac{sin⁡ x}{x}\)?

A. \(\frac{2}{\pi}\)
B. \(\frac{\pi}{2}\)
C. 1
D. 0
Answer» B. \(\frac{\pi}{2}\)
Discussion