1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements in respect of the function $$f(x) = \sin \left( {{1 \over x}} \right)$$ for x $$\ne$$ 0 and f(0) = 0 :
1. $$\mathop {\lim }\limits_{x \to 0} f(x)$$ exits
2. f(x) is continuous at x = 0
hich of the above statement is/are correct?
1. $$\mathop {\lim }\limits_{x \to 0} f(x)$$ exits
2. f(x) is continuous at x = 0
hich of the above statement is/are correct?
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
$$\mathop {\lim }\limits_{x \to 0} {{1 - {{\cos }^3}4x} \over {{x^2}}}$$ is equal to
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The value of k which makes $$f(x) = \left\{ {\matrix{
{\sin x,} & {x \ne 0} \cr
{k,} & {x = 0} \cr
} } \right.$$ continuous at x = 0, is
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow:
Let $f(x) = \frac{x}{\ln x}; (x > 1)$
Consider the following statements :
1. $f(x)$ is increasing in the interval $(e, \infty)$
2. $f(x)$ is decreasing in the interval $(1, e)$
3. $9 \ln 7 > 7 \ln 9$
Which of the statements given above are correct ?
Questions Asked from Limit, Continuity and Differentiability (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies