Maths-
General
Easy
Question
- 1
- 3
- 0
Hint:
We can apply L'Hopital's rule, also commonly spelled L'Hospital's rule, whenever direct substitution of a limit yields an indeterminate form. This means that the limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.
In this question, we have to find value of 
.
The correct answer is: 0
If we put x=3 in the given Function, we get
= 
Therefore, Factorizing Numerator and Denominator.
= 
On substituting, We get
= 
= 0
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 
.
Related Questions to study
physics-
The graph shown in the adjacent diagram, represents the variation of temperature T of two bodies x and y having same surface area, with time (t) due to emission of radiation. Find the correct relation between emissive power(E) and absorptive power(a) of the two bodies
The graph shown in the adjacent diagram, represents the variation of temperature T of two bodies x and y having same surface area, with time (t) due to emission of radiation. Find the correct relation between emissive power(E) and absorptive power(a) of the two bodies
physics-General
physics-
Two circular disc A and B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves (R is rate of cooling)
Two circular disc A and B with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves (R is rate of cooling)
physics-General
physics-
A block of steel heated to 100
C is left in a room to cool. Which of the curves shown in the figure, represents the correct behaviour
A block of steel heated to 100C is left in a room to cool. Which of the curves shown in the figure, represents the correct behaviour
physics-General
physics-
Cooling graphs are drawn for three liquids a,b and c The specific heat is maximum for liquid
Cooling graphs are drawn for three liquids a,b and c The specific heat is maximum for liquid
physics-General
physics-
Absorptive power of a white body and of a perfectly black body respectively are
Absorptive power of a white body and of a perfectly black body respectively are
physics-General
chemistry-
The energies E1 and E2 of two radiations are 25 eV and 50 eV respectively. The relation between their wavelengths i.e. λ and λ will be:
The energies E1 and E2 of two radiations are 25 eV and 50 eV respectively. The relation between their wavelengths i.e. λ and λ will be:
chemistry-General
chemistry-
The first Lyman transition in the hydrogen spectrum has ΔE =10.2 eV. The same energy change is observed in the second Balmer transition of -
The first Lyman transition in the hydrogen spectrum has ΔE =10.2 eV. The same energy change is observed in the second Balmer transition of -
chemistry-General
chemistry-
Which of the following substance will have highest b.p.t.?
Which of the following substance will have highest b.p.t.?
chemistry-General
chemistry-
Which of the following has the lowest melting point-
Which of the following has the lowest melting point-
chemistry-General
chemistry-
The electronic structure of four elements a,b,c and d are a=1s2,b =1s2,2s22p2,c =1s22s22p5,d=1s2 2s22p6 The tendency to form electrovalent bond is greatest in-
The electronic structure of four elements a,b,c and d are a=1s2,b =1s2,2s22p2,c =1s22s22p5,d=1s2 2s22p6 The tendency to form electrovalent bond is greatest in-
chemistry-General
chemistry-
In which of the following pair the boilling point of first compound is not more than the second:
In which of the following pair the boilling point of first compound is not more than the second:
chemistry-General
chemistry-
Compound of a metal ‘M’ is M2O3. The formula of its nitride will be-
Compound of a metal ‘M’ is M2O3. The formula of its nitride will be-
chemistry-General
chemistry-
The compound formed by which of the following pair of ions will have lowest melting
point:
The compound formed by which of the following pair of ions will have lowest melting
point:
chemistry-General
chemistry-
Formula of a metal oxide is MO, formula of its phosphate will be-
Formula of a metal oxide is MO, formula of its phosphate will be-
chemistry-General
chemistry-
In which of the following solvents, KI has highest solubility? The dielectric constant() of each liquid is given in parentheses:
In which of the following solvents, KI has highest solubility? The dielectric constant() of each liquid is given in parentheses:
chemistry-General
