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Limits Continuity and Differentiability · 2025 · 4 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

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2025 · 4 Apr · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2025 · 4 Apr · Shift 1

3 Mathematics questions from this JEE Main paper

Q26.Let $f : R \to R$ be a continuous function satisfying $f (0) = 1$ and $f (2 x) - f (x) = x$ for all $x \in R$ . If $lim_{n \to \infty} {f (x) - f (\frac{x}{2 ^{n}})} = G (x)$ , then $\sum_{r = 1}^{10} G (r^{2})$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q42.If $lim_{x \to 1^{+}} \frac{( x - 1 ) ( 6 + λ c o s ( x - 1 )) + μ s i n ( 1 - x )}{( x - 1 ) ^{3}} = - 1$ , where $λ, μ \in R$ , then $λ + μ$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q47.Let $m$ and $n$ be the number of points at which the function $f (x) = max {x, x^{3}, x^{5}, \dots x^{21}}, x \in R$ , is not differentiable and not continuous, respectively. Then $m + n$ is equal to…
Mathematics · Limits Continuity and Differentiability · Numerical