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Limits Continuity and Differentiability · 2019 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2019 · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2019 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q23.For $a \in R, ∣ a ∣ > 1$ , let $n \to \infty lim (\frac{1 + 3 2 + ... 3 n}{n ^{7/3} ( \frac{1}{( an + 1 ) ^{2}} + \frac{1}{( an + 2 ) ^{2}} + ... + \frac{1}{( an + n ) ^{2}} )}) = 54$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q24.Let f : R be a function. We say that f has PROPERTY 1 if $h \to 0 lim \frac{f ( h ) - f ( 0 )}{∣ h ∣}$ exists and is finite, and PROPERTY 2 if $h \to 0 lim \frac{f ( h ) - f ( 0 )}{h ^{2}}$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct