1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let $f(x)=\frac{a^{x-1}+b^{x-1}}{2}$ and g(x) = x - 1.
What is $\displaystyle \lim _{x \rightarrow 1} \frac{f(x)-1}{g(x)}$ equal to?
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let $f(x)=\frac{a^{x-1}+b^{x-1}}{2}$ and g(x) = x - 1.
What is $\displaystyle \lim _{x \rightarrow 1} f(x)^{\frac{1}{g(x)}}$ equal to?
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let f(x) = |x| and g(x) = [x] - 1, where [.] is the greatest integer function.
Let $ h(x)=\frac{f(g(x))}{g(f(x))}$.
What is $\displaystyle \lim _{x \rightarrow 0+}$ h(x) equal to ?
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Let f(x) = |x| and g(x) = [x] - 1, where [.] is the greatest integer function.
Let $ h(x)=\frac{f(g(x))}{g(f(x))}$.
What is $\displaystyle \lim _{x \rightarrow 0-}$ h(x) equal to ?
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