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Limits Continuity and Differentiability · 2002 · Shift 0

8 Mathematics questions from this JEE Main paper

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JEE Main
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2002 · Shift 0
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2002 · Shift 0

8 Mathematics questions from this JEE Main paper

Q62.f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x) - g''(x) = 0, f'(1) = 2, g'(1) = 4, f(2) = 3, g(2) = 9 then f(x) - g(x) at x = $\frac{3}{2}$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q64. $x \to 0 lim \frac{1 - c o s 2 x}{2 x}$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q66.Let $f (2) = 4$ and $f^{'} (x) = 4.$ Then $x \to 2 lim \frac{x f ( 2 ) - 2 f ( x )}{x - 2}$ is given by
Mathematics · Limits Continuity and Differentiability · MCQ
Q67. $x \to \infty lim (\frac{x ^{2} + 5 x + 3}{x ^{2} + x + 2})^{x}$
Mathematics · Limits Continuity and Differentiability · MCQ
Q68. $x \to 0 lim \frac{l o g x ^{n} - [ x ]}{[ x ]}$ , $n \in N$ , ( [x] denotes the greatest integer less than or equal to x )
Mathematics · Limits Continuity and Differentiability · MCQ
Q69.If $f (1) = 1, f^{'} (1) = 2,$ then $x \to 1 lim \frac{f ( x ) - 1}{x - 1}$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q70. $f$ is defined in $[- 5, 5]$ as $f (x) = x$ if $x$ is rational $= - x$ if $x$ is irrational. Then
Mathematics · Limits Continuity and Differentiability · MCQ
Q71.If f(x + y) = f(x).f(y) $\forall$ x, y and f(5) = 2, f'(0) = 3, then f'(5) is
Mathematics · Limits Continuity and Differentiability · MCQ