Question 1 : If f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c76e6d3604eaa92ed0c' height='41' width='176' >Where [.] is G.I.F. then -
Question 2 : Let f(x)=4 and f'(x)= 4. Then <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d2d75ed294f2c7c439c' height='51' width='179' > is given by
Question 3 : If f (x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870beb19f8d44d3a17f901' height='44' width='57' > then -
Question 5 :
If A and B are square Matrices of order 3 such that |A| = -1 , |B| = 3 then |3AB| = ---------
Question 6 :
In order that the function f(x) = (x + 1)<sup>cotx</sup> is continuous at x = 0, f(0) must be defined as
Question 7 : The value of <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870bee19f8d44d3a17f909' height='56' width='109' > is -
Question 8 :
Let f:R →R be a function defined as f(x)= Min{ 1 +x, 1 + |x|} then which of the following is correct
Question 9 : The point of discontinuity of <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c8619f8d44d3a17fadb' height='37' width='95' > is -
Question 10 :
Consider the function f(x) = |x - 1| + |x - 2|
Question 11 : The point of discontinuity in <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c6fe6d3604eaa92ecf5' height='39' width='53' > of f(x) = <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870c6f19f8d44d3a17fa9f' height='35' width='57' > is
Question 12 : Let ƒ(x) = x - [x], where [x] denotes the greatest integer ≤ x and g(x) =<img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870a8e75ed294f2c7c3be7' height='28' width='29' ><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870cdf75ed294f2c7c42b3' height='44' width='72' > , then g(x) is equal to -
Question 13 :
The function {tex} y = | \sin x | {/tex} is continuous for any {tex} x {/tex} but it is not differentiable at
Question 14 :
Let f : R → R be a function defined by f(x) = max {x, x<sup>3</sup>}. The set of all points where f(x) is NOT differentiable is
Question 15 :
{tex}\underset{ x \rightarrow 0 } \lim \frac { 1 + \sin x - \cos x + \log ( 1 - x ) } { x ^ { 3 } } {/tex} equals
Question 16 :
The value of {tex}\underset{ x \rightarrow 0 } \lim \frac { \log \left[ 1 + x ^ { 3 } \right] } { \sin ^ { 3 } x } = {/tex}
Question 17 :
Exhaustive set of values of x satisfying log<sub>|X|</sub>(x<sup>2</sup> + x +1) ≥ 0 is
Question 18 : If f is a real valued differentiable function satisfying <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e870d42e6d3604eaa92ef8a' height='29' width='402' >, then f(1) equals
Question 19 :
The function ƒ(x) = [x]<sup>2 </sup>- [x<sup>2</sup>] (where [y] is the greatest integer less than or equal to (y), is discontinuous at -
Question 20 :
{tex} \underset{{ x \rightarrow 0 }}\lim \frac { \sqrt { \frac { 1 } { 2 } ( 1 - \cos 2 x ) } } { x } = {/tex}
Question 22 :
Let f(x) = [2x<sup>3</sup>−5], [] denotes the greatest integer function. Then number of points (1, 2) where the function is discontinuous, is
Question 24 :
The set of points of differentiability of the function $f\left( x \right) = \left\{ \begin{matrix} \frac{\sqrt{x + 1} - 1}{x},\ \text{for}\ x \neq 0 \\ 0,\ \text{for}\ x = 0 \\ \end{matrix} \right.\ $ is
Question 25 :
$\lim_{x \rightarrow 0}\left\lbrack \frac{3^{x} + 3^{- x} - 2}{x^{2}} \right\rbrack$ is equal to
