CBSE Class 12 Maths Continuity Important Questions and Answers PDF

Practice Questions and Answers for Continuity Class 12 Maths 

Class 12 Maths Continuity – Get here Important questions for Class 12 Maths Continuity. Candidates who want to qualify the Class 12 with good score can practice these questions for the better understanding of concepts. These questions are framed as per the syllabus of the CBSE Board so go through these important questions for Continuity with answers to get good score in class 12 maths CBSE board exam.

CONTINUITY WORKSHEET - 1

Discuss the continuity of the following function at given points: $$\begin{array}{l}\text{1}\text{.}f\left(x\right)={{\displaystyle \{}}_{2,x=0}^{\frac{\sin x}{x}+\cos x,x\ne 0}\\ 2.f\left(x\right)={{\displaystyle \{}}_{1,x=0}^{\frac{x}{\left|x\right|},x\ne 0}\\ \text{3}\text{.}f\left(x\right)={{\displaystyle \{}}_{1\text{},x=0}^{e^{\frac{1}{x}},x\ne 0}\\ \text{4}\text{.}f\left(x\right)={{\displaystyle \{}}_{1,x=0}^{\frac{1-\cos x}{x^2},x\ne 0}\\ \text{5}\text{.}f\left(x\right)={{\displaystyle \{}}_{2,x=0}^{\frac{x-\left|x\right|}{2},x\ne 0}\\ \text{6}\text{.}f\left(x\right)={{\displaystyle \{}}_{0,x=0}^{\left|x\right|.\cos \frac{1}{x},\text{}x\ne 0}\\ \text{7}\text{.}f\left(x\right)={{\displaystyle \{}}_{7,x=0}^{\frac{e^x-1}{\log \left(1+2x\right)},x\ne 0}\\ \text{8}\text{.}f\left(x\right)={{\displaystyle \{}}_{0,x=0}^{\frac{2\left|x\right|+x^2}{x}\text{}\text{}\text{}\text{}\text{},x\ne 0}\\ \text{9}\text{.}f\left(x\right)=\{\begin{array}{c}\frac{\sin 3x}{\tan 2x},x<0\\ \frac{3}{2},x=0\\ \frac{\log \left(1+3x\right)}{e^{2x}-1},x>0\end{array}\\ 10.f\left(x\right)=\{\begin{array}{c}2x-1\text{},\text{}x<0\\ 2x+1,x\ge 0\end{array}\\ \end{array}$$ ANSWERS

1. Continuous 2. Discontinuous 3. Discontinuous 4. Discontinuous 5. Discontinuous 6. Continuous 7. Discontinuous 8. Discontinuous 9. Continuous 10. Discontinuous

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Other Resources:

• Class 12 maths Inverse Trigonometric Functions Notes, Formula and Important questions
  
• Class 12 maths Continuity and Differentiability NCERT Solutions