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Recent questions tagged limits
+3
votes
1
answer
Find lim(x →4) (x^3 - 64)/(x^2 - 16)
asked
Apr 7, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+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
+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
1
answer
Evaluate the given limit: lim(x→0)cosx/π-x
asked
Apr 5, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+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
+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
+3
votes
1
answer
Differentiate the following with respect to x (i) y = (ax)^m + b^m (ii) y = x^3 + 4x^2 + 7x + 2
asked
Apr 5, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+1
vote
1
answer
Evaluate: lim (x→2) (((cosa)^x + (sina)^x – 1)/(x – 2))
asked
Apr 5, 2019
in
JEE
by
kratos
class-11
jee
jee mains
limits
+1
vote
1
answer
Compute: lim(x→3) (e^x - e^3)/(x - 3)
asked
Apr 4, 2019
in
Class 11
by
kratos
class-11
derivatives
limits
+3
votes
1
answer
How many real solutions does the equation x^7 + 14x^5 + 16x^3 + 30x − 560 = 0 have?
asked
Apr 4, 2019
in
JEE
by
kratos
applications of derivatives
differential calculus
limits
jee
continuity and differntiability
jee mains
+2
votes
1
answer
Evaluate ∫cosecx[cosecx + cotx]dx.
asked
Apr 4, 2019
in
JEE
by
kratos
indefinite integral
limits
class-11
definite integration
jee
derivatives
jee mains
class-12
+3
votes
1
answer
If f(x) = x^3 + bx^2 + cx + d and 0 < b^2 < C, then in (-∞, ∞)
asked
Apr 3, 2019
in
JEE
by
kratos
the maxima and minima
monotonocity
limits
class-11
jee
class-10
jee mains
jee main
polynomials
+3
votes
1
answer
Evaluate: lim(x→a) (x^m – a^m)/(x^n – a^n)
asked
Apr 3, 2019
in
JEE
by
kratos
jee
jee mains
limits
+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
If limit (limit x→∞ )(1 + a/x + b/x^2)^2x = e^2, then the values of a and b are
asked
Apr 2, 2019
in
JEE
by
kratos
jee
jee mains
limits
continuity and differntiability
+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
+3
votes
1
answer
Evaluate the following limits, if exist. lim(x→0) (e^x-e^5)/(x-5)
asked
Apr 2, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+2
votes
1
answer
For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function
asked
Apr 1, 2019
in
JEE
by
kratos
continuity and differntiability
jee
limits
jee mains
+1
vote
1
answer
Why can't we "add or remove heat" from a reaction like a reacting species?
asked
Apr 1, 2019
in
JEE
by
kratos
limits
acids
class-11
jee
jee mains
bases
class-12
halogens family
+2
votes
1
answer
Suppose f(x) is differentiable at x = 1 and lim(h→0)1/h(f(1+ h)) = 5,
asked
Mar 31, 2019
in
JEE
by
kratos
limits
jee main 2021
class-11
jee
jee main
jee mains
jee advanced 2019
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