Login
Login
Register
Questions
Unanswered
Tags
Categories
Ask a Question
Ask a Question
Recent questions tagged limit
+2
votes
1
answer
Let f:(0, π) →R be a twice differentiable function such that lim(t →x) (f(x)sint - f(t)sinx)/(t - x) = sin^2x
asked
Apr 6, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+1
vote
1
answer
The sum of an infinite geometric series whose first term is the limit of the function f(x) = (tanx - sinx)/sin^3x as x → 0
asked
Apr 5, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+2
votes
1
answer
If sin^2 A = 2sinA then find the value of A.
asked
Apr 5, 2019
in
JEE
by
kratos
limits
class- 11
trigonometry
class-11
jee
jee mains
inverse trigonometric functions
limit
class-12
differentiability
continuity
+1
vote
1
answer
If a = x sinθ + y cosθc and b = x cosθ – y sinθi then prove that, d^3x/dθ^3 . d^2y/dθ^2 – d^2y/dθ^2. d^3y/dθ^3 = a^2 + b^2.
asked
Apr 5, 2019
in
JEE
by
kratos
jee
differentiation
derivatives
jee mains
limit
class-12
differentiability
continuity
+2
votes
1
answer
Let f(x) = |x – 2| – 1, 0 ≤ x ≤ 4 and g(x) = 2 – |x|, –1 ≤ x ≤ 3 Then discuss the continuity of the function (fog)(x).
asked
Apr 5, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+1
vote
1
answer
Let f(x) = {((1 - cos4x)/x^2 : x < 0), (a, : x = 0), (√x/√(16 + √x - 4) : x > 0) Determine the value of a,
asked
Apr 4, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+3
votes
1
answer
If f(x) = {(x^2sin(1/x), x ≠ 0), (0, x = 0) then
asked
Apr 3, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+2
votes
1
answer
If f(9) = 9, f′(9) = 4, then lim(x→9) (√f(x) - 3)/(√x - 3) = (A) 2 (B) 4 (C) -2
asked
Apr 3, 2019
in
JEE
by
kratos
limits
jee
jee mains
limit
differentiability
continuity
+1
vote
1
answer
A function f(x) = {(1 + x, x ≤ 2), (5 - x, x > 2) is
asked
Apr 2, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+2
votes
1
answer
Given f(x) = (e^x - cos2x - x)/x^2 for x ∈ R - {0} g(x) = {(f({x}), for n < x < n + 1/2), (f(1 - {x}),
asked
Apr 2, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+3
votes
1
answer
Let m is the number of non-differentiable points of f(x) = ||x| – 1| and n is the number of points of differeniable of g (x) = 1/(log |x|)
asked
Apr 1, 2019
in
JEE
by
kratos
jee
jee mains
jee main
limit
differentiability
continuity
+1
vote
1
answer
Let f:R → R and g:R → R be respectively given by f(x) = |x| + 1 and g(x) = x^2 + 1. Define h:R → R by
asked
Mar 31, 2019
in
JEE
by
kratos
jee
jee mains
jee main
limit
differentiability
continuity
+3
votes
1
answer
Evaluate: lim(x→∞) x^ln2/(1+ln x)
asked
Mar 31, 2019
in
JEE
by
kratos
limits
jee
jee mains
limit
differentiability
continuity
+1
vote
1
answer
Let f be a real valued function defined by f(x) =e^x -e^-|x|/e^x + e^|x| , then the range of f(x) is :
asked
Mar 31, 2019
in
JEE
by
kratos
limit
differentiability
definite integral
the maxima and minima
class-12
jee mains
jee main
relations and functions
jee
jee main 2021
continuity
+3
votes
1
answer
Let l1 = lim(x→ ∞)√((x - cos^2x)/(x + sinx)) and l2 = lim(h →0^+) ∫(hdx/(h^2 + x^2) for x ∈ [-1, 1]. then
asked
Mar 31, 2019
in
JEE
by
kratos
jee
jee mains
limit
differentiability
continuity
+3
votes
1
answer
Let f(x) = x^3 – x^2 + x + 1 and g(x) = {(max.{f(t) : 0 ≤ t ≤ x} : 0 ≤ x ≤ 1), (3 - x, : 1 < x ≤ 2)
asked
Mar 30, 2019
in
JEE
by
kratos
limit
differentiability
jee mains
jee main
jee
continuity
+3
votes
1
answer
Best books of maths for jee main preparation
asked
Mar 30, 2019
in
Mathematics
by
kratos
iit jee
test series
maths
jee mains 2018
jee
ncert books
limit
question.
class-9
jee mains
engineering
+1
vote
1
answer
lim(x →0) ∫(tsin(10t)dt for t ∈ [0, x])/x is equal to
asked
Mar 29, 2019
in
JEE
by
kratos
jee main 2020
definite integration
jee
jee main
jee mains
limit
differentiability
continuity
+3
votes
1
answer
Prove that the greatest integer function defined by f (x) = [x], 0 < x < 3 is not differentiable at x = 1
asked
Mar 29, 2019
in
JEE
by
kratos
jee
jee mains
limit
class-12
differentiability
continuity
+1
vote
1
answer
Prove that the function f given by f (x) = | x – 1 |, x ∈ R is not differentiable at x = 1.
asked
Mar 29, 2019
in
JEE
by
kratos
jee
jee mains
limit
class-12
differentiability
continuity
To see more, click for the
full list of questions
or
popular tags
.