1
JEE Main 2020 (Online) 7th January Evening Slot
Numerical
+4
-0
If the function ƒ defined on $$\left( { - {1 \over 3},{1 \over 3}} \right)$$ by

f(x) = $$\left\{ {\matrix{ {{1 \over x}{{\log }_e}\left( {{{1 + 3x} \over {1 - 2x}}} \right),} & {when\,x \ne 0} \cr {k,} & {when\,x = 0} \cr } } \right.$$

is continuous, then k is equal to_______.
2
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x $$\in$$ R is not differentiable. Then $$\sum\limits_{x \in S} {f(f(x))}$$ is equal to_____.
3
JEE Main 2020 (Online) 7th January Morning Slot
Numerical
+4
-0
$$\mathop {\lim }\limits_{x \to 2} {{{3^x} + {3^{3 - x}} - 12} \over {{3^{ - x/2}} - {3^{1 - x}}}}$$ is equal to_______.
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