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Limits Continuity and Differentiability · 2020 · 3 Sep · Shift 1

2 Mathematics questions from this JEE Main paper

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JEE Main
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2020 · 3 Sep · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2020 · 3 Sep · Shift 1

2 Mathematics questions from this JEE Main paper

Q21.Let [t] denote the greatest integer $\leq$ t. If for some $λ \in$ R - {1, 0}, $x \to 0 lim \frac{1 - x + ∣ x ∣}{λ - x + [ x ]}$ = L, then L is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.If $x \to 0 lim {\frac{1}{x ^{8}} (1 - cos \frac{x ^{2}}{2} - cos \frac{x ^{2}}{4} + cos \frac{x ^{2}}{2} cos \frac{x ^{2}}{4})}$ = 2-k then the value of k is …
Mathematics · Limits Continuity and Differentiability · Numerical