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Limits Continuity and Differentiability · 2021 · 1 Sep · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 1 Sep · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2021 · 1 Sep · Shift 2

2 Mathematics questions from this JEE Main paper

Q39.Let $f (x) = x^{6} + 2 x^{4} + x^{3} + 2 x + 3$ , x $\in$ R. Then the natural number n for which $x \to 1 lim \frac{x ^{n} f ( 1 ) - f ( x )}{x - 1} = 44$ is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q45.Let [t] denote the greatest integer $\leq$ t. The number of points where the function $f (x) = [x] x^{2} - 1 + sin (\frac{π}{[ x ] + 3}) - [x + 1], x \in (- 2, 2)$ is not continuous is …
Mathematics · Limits Continuity and Differentiability · Numerical