Login
Login
Register
Questions
Unanswered
Tags
Categories
Ask a Question
Ask a Question
Recent questions tagged continuity
+3
votes
1
answer
Examine if Rolle’* Theorem is applicable to any of the following functions.
asked
Apr 7, 2019
in
Class 12
by
kratos
cbse
continuity and differntiability
class-12
differentiability
continuity
+1
vote
1
answer
lim(n→∞) ((1^p + 2^p + 3^p + ... + n^p)/n^p+1) equals (a) 1/(p + 1) (b) 1/(1 – p)
asked
Apr 7, 2019
in
JEE
by
kratos
limits
jee
jee mains
differentiability
continuity
+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
+2
votes
1
answer
Evaluate: ∫ dx/ 2e^2x + 3e^x + 1
asked
Apr 6, 2019
in
JEE
by
kratos
indefinite integral
cbse
jee
indefinite integration
jee main
class-12
differentiability
continuity
+3
votes
1
answer
The value of lim(n→∞) ((1^4 + 2^4 + ... + n^4)/n^5 – (1^3 + 2^3 + ... + n^3)/n^4) is
asked
Apr 6, 2019
in
JEE
by
kratos
limits
jee
jee mains
differentiability
continuity
+3
votes
0
answers
Using the fact that sin (A + B) = sin A cos B + cos A sin B and the differentiation,
asked
Apr 6, 2019
in
Class 12
by
kratos
differentiability
class-12
continuity
+3
votes
1
answer
If lim(x→0) ((cos4x + acos2x + b)/x^4) is a finite quantity, find the value of a^2 + b^2 + 10.
asked
Apr 5, 2019
in
JEE
by
kratos
limits
jee
jee mains
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
+2
votes
1
answer
If e^y = y^x . PT dy/dx= (logy)^2 / logy-1
asked
Apr 3, 2019
in
JEE
by
kratos
differential calculus
differentiation
jee
differential equations
jee mains
class-12
differentiability
continuity
+2
votes
1
answer
f(x) = \(\begin{cases}x + 1 & if\; x \geq1\\ x^2 + 1 & if\; x < 1\end{cases}\)
asked
Apr 3, 2019
in
Class 12
by
kratos
class-12
differentiability
continuity
+1
vote
1
answer
If y= (tan^-1x)^2 ,show that (x^2+1)^2 y2+2x(x^2+1)y1=2
asked
Apr 3, 2019
in
Class 12
by
kratos
differentiability
class-12
derivatives
continuity and differntiability
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
f(x) = \(\begin{cases} 2x, if \; x < 0\\ 0, \;if\; 0\leq x\leq 1\\4x, \; if \;x > 1 \end{cases}\)
asked
Apr 2, 2019
in
Class 12
by
kratos
differentiability
class-12
continuity
+3
votes
1
answer
If y = sec^-1[(√x + 1)/(√x - 1)] + sin^-1[(√x - 1)/(√x + 1) then dy/dx equal to
asked
Apr 2, 2019
in
JEE
by
kratos
jee
differentiation
jee mains
class-12
differentiability
continuity
+3
votes
1
answer
If (x) = |x - 2|, then (A) lim(x →2+)f(x) ≠ 0 (B) lim(x →2-) f(x) ≠ 0
asked
Apr 2, 2019
in
JEE
by
kratos
limits
jee
jee mains
differentiability
continuity
To see more, click for the
full list of questions
or
popular tags
.