Functions and Limits Quiz Second Year 3

The post is about the MCQs Functions and Limits Quiz from Chapter 1 of Mathematics Second Year Book. Let us start with MCQs Functions and Limits Quiz.

Online MCQs about Chapter 1 of Functions and Limits from Intermediate Mathematics book Part-II with Question and Answers

1. $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.

 
 
 
 

2. If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called

 
 
 
 

3. A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.

 
 
 
 

4. A function $f(x)$ is said to be continuous at $x=c$ if

 
 
 
 

5. The range of a constant function is ——–.

 
 
 
 

6. $f(x)=sin\,x + cos\, x$ is ——– function.

 
 
 
 

7. $log\, x$ is not defined at $x=$ ——–.

 
 
 
 

8. If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?

 
 
 
 

9. The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.

 
 
 
 

10. $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.

 
 
 
 

11. If $f:X\rightarrow Y$, then $Y$ is called

 
 
 
 

12. $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$

 
 
 
 

13. $cos\, h^2x – sin\,h^2x =$——–.

 
 
 
 

14. The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.

 
 
 
 

15. The perimeter $P$ of a square as a function of its Area $A$ is

 
 
 
 

16. $x=at^2$, $y=2at$ represents ——-.

 
 
 
 

17. If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.

 
 
 
 

18. If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.

 
 
 
 

19. $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.

 
 
 
 

20. $sin\,h^{-1}$\, x =$ ——

 
 
 
 

MCQS Functions and Limits Quiz with Answers

  • If $y$ is expressed in terms of a variable $x$ as $y=f(x)$, called
  • $x=at^2$, $y=2at$ represents ——-.
  • If $f:X\rightarrow Y$, then $Y$ is called
  • $\lim\limits_{x\rightarrow a} \frac{x^3-a^3}{x-a}=$
  • A function $f(x)$ is said to be continuous at $x=c$ if
  • A function $I:x \rightarrow x$ defined as $I(x)=x$ is called ——–.
  • If $f:X\rightarrow Y$ is a function, then $y=f(x), x \in X$ called ——-.
  • If $\frac{f(x)+f(-x)}{2}=0$, then $f(x)$ is ——-.
  • If $f(x)=\frac{x}{x^2-4}$, $f(x)$ is not defined at $x=$?
  • $\lim\limits_{x\rightarrow 0} \frac{3^{3x}-1}{x}=$ ——–.
  • The range of a constant function is ——–.
  • $f(x)=sin\,x + cos\, x$ is ——– function.
  • $sin\,h^{-1}$\, x =$ ——
  • The perimeter $P$ of a square as a function of its Area $A$ is
  • The are of circumscribed $n$-sides Polygon as $n\rightarrow \infty$ approaches are of ——-.
  • $\lim\limits_{x\rightarrow \infty} \frac{a}{x^p}=$ ——–.
  • $log\, x$ is not defined at $x=$ ——–.
  • $\lim \limits_{x \rightarrow \pi} \frac{sin(\pi – x)}{x-\pi}=$——–.
  • $cos h^2x – sin h^2x =$——–.
  • The function $f(x)=\frac{1}{x+1}$ is discontinuous at ——–.
MCQs Functions and Limits Quiz with Answers

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  • A function $f(x)$ has a minimum value at $x=a$ if
  • If $y=f(x)$ then $\frac{dy}{dx}$ is
  • The derivative of $cos\left(\frac{ax}{c}\right)$ is
  • $\frac{d}{dx} \frac{[sin \frac{\pi}{2}]}{sec\, x}$
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  • If $x=a\,cos^2 \theta$, $y=b\,sin^2\theta$ then $\frac{dy}{dx}$ is
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  • Two numbers such as their difference is 50 and product is minimum are
  • The derivative of $sin\, x^0$ w.r. to $x$
  • $1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\cdots$ is an expansion of
  • $1-\frac{t^2}{2!} + \frac{t^4}{4!} – \frac{t^6}{6!} + \cdots $ is an expansion of
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This post is about online MCQs about Functions and Limits Quizzes test with answers.

The chapter includes Introduction to Functions and Limits, Types of Functions, Composition of Function and Inverse of a Function, Limit of a Function and Theorems on Limits, Limits of Important Functions, Continous and Discontinuous Functions, and Graphs of Functions and Limits.

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