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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7. $x=at^2$, $y=2at$ represents ——-.

 
 
 
 

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

 
 
 
 

9. $cos\, h^2x – sin\,h^2x =$——–.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

18. $sin\,h^{-1}$\, x =$ ——

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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MCQs Differentiation 1

Online MCQs about Intermediate Mathematics Part II. Let us start with MCQs about Differentiation Chapter-2 First Mathematics.

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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
  • $\frac{d}{dx} \frac{[sin \frac{\pi}{2}]}{sec\, x}$
  • 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 $d^8(y)=$
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  • $\frac{d}{dx} (a^{b+c})$
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  • $\frac{d}{dx} [cos\, ax+ cos\, bx + cos\,cx]$
  • 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

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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MCQs Functions and Limits 2

Online MCQs Functions and Limits from Mathematics Intermediate Part-II (2nd Book) with Answers. There are 20 multiple-choice questions from Mathematics 2nd book. Let us start with MCQs Functions and Limits Quiz with Answers.

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MCQs Functions and Limits

  • The term function was recognized by a German Mathematician
  • The volume of a sphere depends upon
  • The degree of $2x^4 – 3xy^3 + 2x^2 + 1$ is
  • If the degree of a polynomial function is 1 then it is called a _________ function.
  • Range of $sin\,\, x$ is
  • The base of natural logarithm is
  • If $x$ and $y$ are not separable then it is called ______ function.
  • $\lim\limits_{x \rightarrow 4} (2x-3)^3 =$
  • $\lim\limits_{x \rightarrow 0} \frac{(e^{x-1})}{x}=$
  • A relation in which every element in the domain has a unique image in the range is called
  • $\lim\limits_{x \rightarrow \infty} e^{-x} =$
  • $f(x)=|x|$ is function.
  • $f(x)=x^3$ is function
  • $\lim\limits_{x \rightarrow \infty} \frac{a}{x^p} = $___________, $p>0$
  • For continuous function $\lim\limits_{x \rightarrow a} f(x)=$ _________.
  • Log $x$ is not defined at $x=$.
  • Domain of $f(x) = \sqrt{x}$ is
  • Domain of $f^{-1}=$.
  • $\lim\limits_{x \rightarrow 0} \frac{Sin\, 7\theta}{\theta}=$_________, where $\theta$ is in radians.
  • $x=a\, cos\, \theta$, $y=b\, sin\, \theta$ are parametric equation of _________.
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