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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9. $x=at^2$, $y=2at$ represents ——-.

 
 
 
 

10. $cos\, h^2x – sin\,h^2x =$——–.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

15. $sin\,h^{-1}$\, x =$ ——

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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Online MCQs about Intermediate Mathematics Part II. There are 20 multiple-choice questions from the First Year Mathematics of Differentiation Chapter. Let us start with MCQs about Differentiation Chapter-2 First Year Mathematics.

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MCQs Differentiation with Answers

  • 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
  • $\frac{d}{dx} \frac{[sin \frac{\pi}{2}]}{sec\, x}$
  • If $f'(x)=0$ at $x=c$ then $f(c)$ is
  • $\frac{d}{dx} [sin \, x\, cos\, x]$
  • The derivative of $x^2 + y^2 = 0$ is
  • If $x=a\,cos^2 \theta$, $y=b\,sin^2\theta$ then $\frac{dy}{dx}$ is
  • If $y=x^7+x^6+x^5$ then $d^8(y)=$
  • $\frac{d}{dx} [x^{x2}]$ is
  • $\frac{d}{dx} (a^{b+c})$
  • $y=Cos(bx+c)$ then $\frac{d^4}{dx^4}cos(bx+c)$
  • If $y^3=x^2$ then $\frac{dy}{dx}$ is
  • $\frac{d^4}{dx^4}(x^8+12)$ is
  • $\frac{d}{dx} [cos\, ax+ cos\, bx + cos\,cx]$
  • The equation of tangent line to the curve $x^2+y^2=c^2$ at $(a,b)$
  • 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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Functions and Limits Quizzes 2024

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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