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Recent questions tagged limits and continuity
+2
votes
1
answer
Show f(x) defined by f(x) = {((x^2 - 25)/(x - 5) when x ≠ 5),(10, when x = 5) is continuous at x = 5
asked
Feb 26, 2019
in
JEE
by
kratos
isc
class-11
jee
limits and continuity
icse
jee mains
limit
class-12
differentiability
continuity
+2
votes
1
answer
Let f : [0, π] → R be defined as f (x) = { sin x if x, if x is irrational and x ∈ [0,π] ,f(x) = {tan^2 x if x is irrational and x ∈ [0, π]
asked
Feb 25, 2019
in
Class 12
by
kratos
class-11
kvpy
limits and continuity
class-10
class-12
composition of function
+3
votes
1
answer
Lt →∞[(2n + 1)(7n + 10n)]1/n =
asked
Jan 29, 2019
in
JEE
by
kratos
limits
class-11
arithmetic progression
definite integration
jee
limits and continuity
class-10
jee mains
sequences and series
continuity
differentiability
+3
votes
1
answer
Let f & g be two functions defined as follows ; f(x) = (x + |x|)/2 for all x & g(x) = [x for x < 0, x^2 for x ≥ 0, then
asked
Jan 7, 2019
in
JEE
by
kratos
cbse
jee main 2021
class-11
jee
kvpy
continuity and differntiability
limits and continuity
jee mains
jee main
class-12
differentiability
continuity
+3
votes
1
answer
If f(x) : [1, 10] → Q be a continuous function. If f(x) takes rational value for all x and f(2) = 5
asked
Jan 1, 2019
in
JEE
by
kratos
class-11
jee
limits and continuity
jee mains
limit
differentiability
continuity
+2
votes
1
answer
True or false: a point (a, b) is a critical point of f (x, y) if fx (a, b) and f y (a, b) are undefined.
asked
Jan 1, 2019
in
JEE
by
kratos
fundamental unit of life
cbse
class-11
jee
limits and continuity
class-9
jee mains
+2
votes
1
answer
What is the special character seen in cyclostomes during spawning?
asked
Dec 31, 2018
in
Biology
by
kratos
neet
class-11
limits and continuity
class-9
animal kingdom
fishes
economic biology
+2
votes
1
answer
Limit x → 0^+(1 + tan^2 √x)^5/x =
asked
Dec 12, 2018
in
Class 12
by
kratos
limits
class-11
limits and continuity
applications of differential calculus
class-12
+2
votes
1
answer
Solution of limn → ∞ [(e^1/n + e^2/n + e^3/n + ... + e^n/n)/n] is (a) 1 - e (b) e - 1 (c) e (d) 1
asked
Dec 9, 2018
in
Class 12
by
kratos
limits and continuity
class-11
class-12
+2
votes
1
answer
The tension in the string is (A) 1.0 N (B) 0.5N (C) √3/2N
asked
Dec 8, 2018
in
JEE
by
kratos
arithmetic progression
jee
class-11
limits and continuity
class-10
jee mains
+3
votes
1
answer
Let f(x) = (3x + 2)^2 - 1, -∞ < x ≤ -2/3 . If g(x) is the function whose graph is the reflection of the graph of f(x) with
asked
Nov 12, 2018
in
JEE
by
kratos
class-11
jee
limits and continuity
jee mains
functions
limit
differentiability
continuity
+2
votes
1
answer
The value of limx → ∞ a^x sin (b/a^x) is (a>1):
asked
Oct 29, 2018
in
Class 11
by
kratos
limits and continuity
class-11
differential calculus
+1
vote
1
answer
Regarding workers and dose limits: a. The dose limit for carers is the same as for the public
asked
Oct 27, 2018
in
Class 11
by
kratos
limits and continuity
class-11
+3
votes
1
answer
Let f(x) = [x^2 - 4x + 3 x < 3, (x - 4, x ≥ 3) and g(x) = [(1, x < 1), (x^2 - x, 1 ≤ x < 4), (x - 3, x ≥ 4) then
asked
Oct 21, 2018
in
JEE
by
kratos
linear programming
class-11
jee
limits and continuity
area under the curves
jee mains
limit
class-12
differentiability
continuity
methods of differentiation
+1
vote
1
answer
Given the function f(x) = 1 /(1 – x), the points of discontinuity of the composite function
asked
Sep 21, 2018
in
JEE
by
kratos
class-11
jee
limits and continuity
jee mains
class-12
differentiability
continuity
+2
votes
1
answer
Limit x tends to infinite (x^5/5^x)
asked
Sep 12, 2018
in
Mathematics
by
kratos
maths
class-11
jee
acet
limits and continuity
jee mains
limit
differentiability
continuity
+2
votes
1
answer
If f(x) = tan 3x/sin 2x, what is the limit of f(x) as x tends to zero ?
asked
Aug 2, 2018
in
Mathematics
by
kratos
maths
class-11
jee
acet
limits and continuity
+3
votes
1
answer
A particle is acted upon by a force given by F = – αx^3 – βx^4 where α and β are positive constants. At the point x = 0, the particle is –
asked
Jul 20, 2018
in
JEE
by
kratos
motion in a straight line
jee main 2021
class-11
jee
kvpy
limits and continuity
jee mains
jee main
limit
class-12
differentiability
continuity
+2
votes
1
answer
Do you think Indian films have certain basic weaknesses? Illustrate your answer citing examples from the films you have seen.
asked
Jul 15, 2018
in
Class 11
by
kratos
cbse
public institution and development
class-11
limits and continuity
class-10
icse
the human eye and the colourful world
government budget and economy
+3
votes
1
answer
The function f(x) is an even function and satisfies x^2f(x)-2f(1/x)=g(x) where g(x) is an odd function.The value of f(5) is
asked
Jul 8, 2018
in
JEE
by
kratos
relation
class-11
jee
function
differential equations
limits and continuity
relations and functions
jee mains
nmtc
sets
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