Competishun Header
Competishun
Contact Us
Back

Report Issue

JEE MAIN 2021
18-03-21 S2
Question
Let $f: R \rightarrow R$ satisfy the equation $f(x+y)=f(x)$. $f(y)$ for all $x, y \in R$ and $f(x) \neq 0$ for any $x \in R$. If Ihe function f is differentiable at $\mathrm{x}=0$ and $\mathrm{f}^{\prime}(0)=3$, then $\lim _{h \rightarrow 0} \frac{1}{h}(f(h)-1)$ is equal to $\_\_\_\_$ .
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun
YouTube
Books
App
Tests
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20062006
$A=\left[\begin{array}{lll}1 & 0 & 0 \\ 2 & 1 & 0 \\ 3 & 2 & 1\end{array}\right]$, if $U_1, U_2$...
JEE AdvanceMathematicsEasy
View Solution→
QJEE ADVANCE 20062006
How can the conversion of (i) to (ii) be brought about?
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20062006
Find the number of times $\mathrm{y}_1+\mathrm{y}_2=0$ at $\mathrm{x}=0$ in 1 sec
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
Find wave velocity of louder sound
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
A line M through A is drawn parallel to BD . Point S moves such that its distances from the...
JEE AdvanceMathematicsEasy
View Solution→
QJEE Advance 20062006
Two waves $\mathrm{y}_1=\mathrm{A} \cos (0.5 \pi \mathrm{x}-100 \pi \mathrm{t})$ and $y_2=A \cos (0.46 \pi x-92 \pi t)$ are travelling in...
JEE AdvancePhysicsEasy
View Solution→
QJEE ADVANCE 20062006
$\mathrm{MgSO}_4$ on reaction with $\mathrm{NH}_4 \mathrm{OH}$ and $\mathrm{Na}_2 \mathrm{HPO}_4$ forms a white crystalline precipitate. What is its formula?
JEE AdvanceChemistryEasy
View Solution→
QJEE ADVANCE 20062006
What are N and M ?
JEE AdvanceChemistryEasy
View Solution→
QJEE ADVANCE 20062006
The smallest ketone and its next homologue are reacted with $\mathrm{NH}_2 \mathrm{OH}$ to form oxime.
JEE AdvanceChemistryEasy
View Solution→
QJEE ADVANCE 20062006
The given graph represents the variation of Z (compressibility factor $=\frac{\mathrm{PV}}{\mathrm{nRT}}$ ) versus P , for three real gases $...
JEE AdvanceChemistryEasy
View Solution→
QJEE ADVANCE 20062006
The major products P and Q are
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20062006
A ball moves over a fixed track as shown in the figure. From $A$ to $B$ the ball rolls without...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
An infinite current carrying wire passes through point O and in perpendicular to the plane containing a current carrying loop...
JEE AdvancePhysicsEasy
View Solution→
QJEE ADVANCE 20062006
Which of the following reactants on reaction with conc. NaOH followed by acidification gives the following lactone as the only...
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20062006
The graph between $1 / \lambda$ and stopping potential (V) of three metals having work functions $\phi_1, \phi_2$ and $\phi_3$...
JEE AdvancePhysicsEasy
View Solution→
QJEE Advance 20062006
In a dark room with ambient temperature $\mathrm{T}_0$, a black body is kept at a temperature T . Keeping the...
JEE AdvancePhysicsEasy
View Solution→
QJEE ADVANCE 20062006
The species present in solution when $\mathrm{CO}_2$ is dissolved in water are
JEE AdvanceChemistryEasy
View Solution→
QJEE Advance 20062006
A circle touches the line L and the circle $\mathrm{C}_1$ externally such that both the circles are on the same...
JEE AdvanceMathematicsEasy
View Solution→