Tomorrow on 7th Of November You was born and We remember you for your Groundbreaking Discovery which known as "Raman Effect" (28 Feb 1928) later on we were celebrate this day as "National Science Day"| After Your Discovery You was nominated for Nobel Prize and you Honoured with this Prize in 1930 ❤
Regards
Er. Gyanesh Rai
Mathematics Expert
Radius Jee
L-3/87 Sector - D Puraniya Chauraha Aliganj Lucknow
05224312655
07042982879
Regards
Er. Gyanesh Rai
Mathematics Expert
Radius Jee
L-3/87 Sector - D Puraniya Chauraha Aliganj Lucknow
05224312655
07042982879
Q1. Calculate the value of I
If I = [ log₂35 ]
Where [ x ] Denotes greatest integer function less than or equal to x
If I = [ log₂35 ]
Where [ x ] Denotes greatest integer function less than or equal to x
Anonymous Quiz
35%
(A) 5
26%
(B) 6
26%
(C) 7
12%
(D) Non of the above
Q2. Solve for x ?
if x[x] = 15 [x] Denotes the greatest integer less than or equal to x
if x[x] = 15 [x] Denotes the greatest integer less than or equal to x
Anonymous Quiz
36%
(A) 5
30%
(B) 3
12%
(C) 4
22%
(D) None of the above
If
Lim x→0 f(x) EXIST
That Means
Left Hand Limit (LHL) = Right Hand Limit(RHL) at x =0
LHL Means when x approaches from left hand side of zero on real number line or on x axis
In this case we assume that x is slightly less than ZERO(0)
LHL Represented by
LHL = x→0⁻ f(x)
RHL Means when x approaches from Right hand side of zero on real number line or on x axis
In this case we assume that x is slightly greater than ZERO(0)
RHL Represented by
RHL = x→0⁺ f(x)
NOTE 1
If
x→0⁻ f(x) = = x→0⁺ f(x)
in this case LIMIT WILL EXIST AT X =0
NOTE 2
If
x→0⁻ f(x) = = x→0⁺ f(x) = f(0)
f(0) = value of function at x =0
in this case FUNCTION f(x) WILL BE CONTINUOUS AT X =0
THANKS
Best Wishes
Lim x→0 f(x) EXIST
That Means
Left Hand Limit (LHL) = Right Hand Limit(RHL) at x =0
LHL Means when x approaches from left hand side of zero on real number line or on x axis
In this case we assume that x is slightly less than ZERO(0)
LHL Represented by
LHL = x→0⁻ f(x)
RHL Means when x approaches from Right hand side of zero on real number line or on x axis
In this case we assume that x is slightly greater than ZERO(0)
RHL Represented by
RHL = x→0⁺ f(x)
NOTE 1
If
x→0⁻ f(x) = = x→0⁺ f(x)
in this case LIMIT WILL EXIST AT X =0
NOTE 2
If
x→0⁻ f(x) = = x→0⁺ f(x) = f(0)
f(0) = value of function at x =0
in this case FUNCTION f(x) WILL BE CONTINUOUS AT X =0
THANKS
Best Wishes
Q3. Calculate the value of I
if I = [√1] + [√2] + [√3] .......[√100]
Where [ x ] Denotes greatest integer less than or equal to x.
if I = [√1] + [√2] + [√3] .......[√100]
Where [ x ] Denotes greatest integer less than or equal to x.
Anonymous Quiz
20%
(A) 615
30%
(B) 625
42%
(C) 5050
8%
(D) 505
Q4. Solve for x
If f₁(x) = f₂(x), Given
f₁(x) = [x/2] + [(x+1)/2] f₂(x) = [x/2022] + [(x+1)/2022] + [(x+2)/ 2022] + ............+ [(x+2021)/2022] Where [ ● ] Denotes Greatest Integer function less than or equal to x,
If f₁(x) = f₂(x), Given
f₁(x) = [x/2] + [(x+1)/2] f₂(x) = [x/2022] + [(x+1)/2022] + [(x+2)/ 2022] + ............+ [(x+2021)/2022] Where [ ● ] Denotes Greatest Integer function less than or equal to x,
Anonymous Quiz
12%
(A) x ∈ [0 ∞)
41%
(B) x ∈ (0 ∞)
42%
(C) x ∈ (-∞ ∞)
5%
(D) None of These
Q5.If D₁ is the domain of the function f₁(x) = √x² - [x] ² ) and D₂ is the domain of function f₂(x) = 1/f₁(x) calculate the value of D₁ ∩ D₂ ? Where Denotes greatest integer function less than or equal to x and Z denotes Integers【RADIUS JEE】
Anonymous Quiz
29%
(A) x ∈ (-∞ ∞)
46%
(B) x ∈ (-∞ ∞) - Z
19%
(C) x ∈ (0 ∞) - Z
6%
(D) None of the above
Definition of set in Mathematics - RADIUS JEE
https://radiusjee.com/definition-of-set-in-mathematics/
https://radiusjee.com/definition-of-set-in-mathematics/
RADIUS JEE - IIT JEE MATHEMATICS
Definition of set in Mathematics - RADIUS JEE
Definition of set ? What is Sets? Set is a well define collection of objects by Radius JEE, Purania Sector D Aliganj Lucknow 226024, Phone No. : +919454321216
Set representation method in Mathematics - RADIUS JEE
https://radiusjee.com/set-representation-method-in-mathematics/
https://radiusjee.com/set-representation-method-in-mathematics/
RADIUS JEE - IIT JEE MATHEMATICS
Set representation method in Mathematics - RADIUS JEE
Methods of representation of set Roster form and set builder form by Radius JEE, Purania Sector D Aliganj Lucknow 226024, Phone No. : +919454321216
Definition of Empty Set in Mathematics- RADIUS JEE
https://radiusjee.com/definition-of-empty-set-in-mathematics/
https://radiusjee.com/definition-of-empty-set-in-mathematics/
RADIUS JEE - IIT JEE MATHEMATICS
Definition of Empty Set in Mathematics- RADIUS JEE
Definition of Empty Set in Mathematics, Properties of Empty Set by Radius JEE, Purania Sector D Aliganj Lucknow 226024, Phone No. : +919454321216