1

JEE Main 2020 (Online) 2nd September Morning Slot

Numerical

+4

-0

If $$\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + {x^3} + ... + {x^n} - n} \over {x - 1}}$$ = 820,

(n $$ \in $$ N) then the value of n is equal to _______.

(n $$ \in $$ N) then the value of n is equal to _______.

Your input ____

2

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_______.

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_______.

Your input ____

3

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_____.

Your input ____

4

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_______.

Your input ____

Questions Asked from Limits, Continuity and Differentiability (Numerical)

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