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Limits Continuity and Differentiability · 2003 · Shift 0

4 Mathematics questions from this JEE Main paper

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JEE Main
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2003 · Shift 0
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2003 · Shift 0

4 Mathematics questions from this JEE Main paper

Q70.If $x \to 0 lim \frac{l o g ( 3 + x ) - l o g ( 3 - x )}{x}$ = k, the value of k is
Mathematics · Limits Continuity and Differentiability · MCQ
Q71.Let $f (a) = g (a) = k$ and their nth derivatives $f^{n} (a)$ , $g^{n} (a)$ exist and are not equal for some n. Further if $x \to a lim \frac{f ( a ) g ( x ) - f ( a ) - g ( a ) f ( x ) + f ( a )}{g ( x ) - f ( x )} = 4$ then the value of k is
Mathematics · Limits Continuity and Differentiability · MCQ
Q72. $x \to \frac{π}{2} lim \frac{[ 1 - t a n ( \frac{x}{2} ) ] [ 1 - s i n x ]}{[ 1 + t a n ( \frac{x}{2} ) ] [ π - 2 x ] ^{3}}$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q73.If $f (x) = {x e^{- (\frac{1}{∣ x ∣} + \frac{1}{x})} 0, x e 0, x = 0$ then $f (x)$ is
Mathematics · Limits Continuity and Differentiability · MCQ