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Limits Continuity and Differentiability · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 5 Apr · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2024 · 5 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q44.If the function $f (x) = \frac{s i n 3 x + α s i n x - β c o s 3 x}{x ^{3}}, x \in R$ , is continuous at $x = 0$ , then $f (0)$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q55.Let $f$ be a differentiable function in the interval $f (1) = 1$ such that $f (1) = 1$ and $lim_{t \to x} \frac{t ^{2} f ( x ) - x ^{2} f ( t )}{t - x} = 1$ for each $x > 0$ . Then $2 f (2) + 3 f (3)$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical